Created
October 25, 2019 03:34
-
-
Save gihyunkim/e52e2dbadde7b30c8d524a12a310685c to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 기초\n", | |
"**선형대수학**이란, 벡터와 한 벡터 공간에서 다른 벡터 공간으로의 변환을 다루는 수학.\n", | |
" \n", | |
"벡터 : 연속 또는 이산 숫자의 배열.\n", | |
"\n", | |
"벡터 공간 : 벡터로 구성된 공간.\n", | |
"\n", | |
"스칼라 : 1차원 벡터. 크기만 존재하고 방향이 존재하지 않음.\n", | |
"\n", | |
"행렬 : 2차원 배열.\n", | |
"\n", | |
"텐서 : 다차원 배열. 벡터(1D텟너), 행렬(2D텐서). 주로 데이터 저장 및 처리에 사용.\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAUAAAAEwCAYAAADGsqhrAAAABHNCSVQICAgIfAhkiAAAIABJREFUeJzt3X9sU3ee//vnbPjat1zMl72xQOsMe+0WjTPcG1NU+3JVT1Hj4btxWy1evkvS0SRlRdLRJEEiaTW4vYV01CboS91Rm6ALZjUkaFszGpLq2zFVi6OlziwdI7H2qtTZy9iztPZ3UnuWqXOHy2EoJ5Ns7h9JIISE/MBxgPN+SEj4+Jzjt0/slz+f8zn25xujo6OjCCGEBv3ZUhcghBBLRQJQCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUAihWQUKQIVULELkfAa1MA+4cGqGRCxK4tJdVjqskLqQIJG955+xEJpVmAAcznDqQBNNHX3kprv/YojDBw8TujjbjlKEjrRz+MPUnB9avaaiTs2gawq5nHIjjCMHPJRXHyY+DPwuROuuBny901Y6d1fD+HbW0PRO/O72I4RYNMsWtplC6lyU1LWZ7tdjsNhxmPVz293Arzj+Th/lZY24191hveEsvzoRoG+TjcZnLLPvdziO/3u19Kz3ETngurE4c6Iez5GVtPT68awCVcmhXL5659ZpNkro08GZ719uxl5einH2qoQQ94iFBeBwiuB+L4HszKtYdwU5vrNkgWXde5RYgH2vR2ZeobgK/xOlGBf4kXJfu9hJdbWf3FY/vXsdS12NEHO2sLfrMhvNJ2M0T3dffzuenQFWGubY+rtBJbTHTmgOa853z/lTjOdQLy2b8r/nyOvlNJ1U4JEaut5pxjbdk8wGqN3WzuD2LoJ7bAt6nFRvJ9FVHqo2LbStmiH8Th+U1+BaO75oeQkbNjm5ss6wwH0KsTTy3l5Rf5slRzFO83zfYHocz/uoKbvDKiMJAv+Xn/meVVNPe7HbpywsshLvC2MwDBG/NM8dLqbPe3jjXTfHny/N/76HE5z6qZ/ezc6FB+ClCIFDnVgemRSAJjfeg+68lSlEoeQ9AOPnP0PVP4zVPP9ti61OnM47rDAMp3Tz36/+0Vp8OzfcuJ372EfrySTB/V6CEwvXzH+/eae3YnskTfwdH4EtXdSY87z/q0mSv7u7XajJOKkRmMMZWCHuefkNQDVK37lB9N+uw76ABkb2QpjwnVYYSTA4tIC6jKU4JyVr5jcroMhxYxAkvNeJ9/xcdjREtj9MeOrgT5ERq91GyfIF1HaLEjwvOlF3ddH5VpDygx7mdBb1WorwO50ETkdJ/m4QigwYH3FQ8b0G6ios6IHMO7V4Do63nd+pwf4OWOt7OP68BVBInOyk6/0+op9nUFQ9BqMZ25NVNNR7KDUAKARfdNN6ZmyoKNhkJ0gxVUd78a6Y4RxgNkLn0QChcwmyOQUMJZhtTqp2NuApu9ldDu914v2lk7YPm9Ad99F5MkbyMhiMZhzbmvE+75DBJbEo8hqAyi97OJXVY9vhmtsb9xYq8WNevHNYc+nOASpEj3iJTl1cZKXhRAeGA258sVvvKp7X/lV4pI6X/raP2p+10/GhE98zs7z1h1MEXqylPQbWikqadjzMyqEM0ZMBuvZGiGU76dpZirG8Gd9IJ28cikB5My89bcKwzgRA6p0m6g7G0ZV5qPxhLSXLVTL9IXpOtNKQVgkcqqIEA86drXhXdOD7KIfj+VYqrXosZpj22qZsEO/OVsJfW3Btr6PmESMMxgmd6Ka1PkqqI0Czfewvqdfrxi6Vet2LstpD4xsNFA+nCR97m64jXtTiHjq2SQSK/MtfAF6L4z8SRlnjoebpeb5Yy9uIxNpuXZbupPpZP0M7e+ipv8sOVy5B+Iz+RnDmUleBlQvY0Z0GQVRSz7XR8vT4xTRfxwm8FeTKfHY/DKDH9oNmPL9sIni4nbCzDdeqmTfJfdSOP6ZgebaLrj22G8/R/bQDfXUt3cf8BLd14Flrw2W30EEE1tpxlU+cY8yQHNBjfbSKure9OCcaZtueolTdivd0D8FkFY1WMJa5cMQ6gSuYyly4JhrVtwWgSuToYcKDxbgPdNG2ZWKnbjyPF1P9d34Ch3qoPFZz84NyJElihY/3XnYxtnYppWtyRLa3E/skgrLNgwyxiHzLUwAqRA620j1gwLm3FudddwXzSz3fdXsXt8iU50fRY3G6b54buwyh+QbgBIOT5t1ufvVyiI4jHhwvO2Z48yvEPomhFllxb7Pd2jJebmPrFgvdx2JEYiqeLTO1m0tw7/Vz2xDGsAGLxQQjWbKXAOs86h+OET4zCGuq8Dw5pfJ1bjzf9uPrjxDJ1VB147OymO8847r1ef6FBctySOZy5EACUORdHgJQJXHcy773UhSXt9Gybe6d38yxajyHknde6Wgl9qMz3FfWTHByK2KqO12uM4m+SAdFS9m1vp1hSzONmyO0vu+j85kAzWXTVDec4YvfqqAvwbL29rtLzCb0pMgMZLnjsIWSIHSsi+6+z0hmB1FHJt+ph5GZNpzBYIaUAljNWG57hZVQ8pcGOJ8l+yXcOLlXZMQ0zUCUvoj5P74Qc3SXAZgjesSL92gcymp581X3vE5WG8ub8ZkGWci4BoBuVVleTo47X+/jxqm7b1bR8Z4bVi31RdxGPC80EIr56DkQwP0Pddx+YcwQQ18DOsNYUExh0I+F5tC1O3zHZThF4IU62s/rsG6to+VHVkx/bkAHZD9swXviDle7z+Trsa8Z6vUrp/1Q0T2kA66jyNekxRJbcACq2Qid+1+n69wgBnsDHQfqsM2zj6I3O3CZgWs5MpdVVhaXMO/rp+foxoXGc2TbHaRrx9QQHCL7aYiwAkOqivq1iqLkyGWzZLNZUpeM1Bzx4cnX+fq1VXh3hqg51IXvZy66tkxdQYfuIeCyMtZqm/LXVMa/BK1bfoeDer6Hd8+rGLa0cuTVW7ug+jMLrPshAysB9doVVG7vug59PQSsxHCPnSoR2rOgAMyc9NL4RpiMasD2fR+tu12U3EVbUu1rperHCdyL9C0LAOv2Fto2zaGtmQ3z9qGZLsZRiB7dNzYKXKRHv1zHiuUrMa42YVxjwWG1YsrzlZWW73upDtXQdcxH98byW1tUy0p4+C/1kE6RGADXlO9RZz5Po2LAYp75fKcykGEQcGy0TQmqHNH+BbT+AIotmFYBA2lSw0z5emCGVEoBfem03XYhCmlBb9eS9TbM3zZQ3dRMVdn9cWrauN6Fe/0cVkx+QeeR2xcbtnYQ25r3smanL6VuTxW9u7rxH9Fxa5QZcD7pxNAXpvf9KHV7HDcDUonQczoDq9y47Le2AK+rNz8IdKsM6IHspRxMOqGQ+dBHzwUdMMTQkMrEGVJdEcAQ6qRlt1lmw7W5mOD7HxP8ZQOOLTdfI+qFIKcugN5ejvMOo9tCFMLC2ivrauiYaWBC5J3e3oD3mY9pOhkhCbcM+hgqGmj4KIrvhJdapYaqTSVw9QuiJ3sIZYtx7m3ANZE/xSaKiyB+2k/7GidGk5Mau4vyVSFC77Wyb9VzfKf4Cpl/CdH9qYUXXnDxxutBoic7CT3kwrm5lJVrStCTJPKOj86shZKNlbhv+3aOHufzL+A+u4/Q67UMJStxrVvJlYEooZ8HSS630bDbIxc3iyV3D/12ycT5tTl8163IhE1TPz1lwNn4Aq7IPsJTf5FrmYWqt7owHusk0BvA16uAvhjTehcNb9VSs3lSXJqeomFnH/t+FqXnnSzmrVZqtrh46e1meOtd+g7tI6QvxrrJw6tHGnGuSpA7HcN/7jhvj6zEurkUy5O1NGxO0hkJEfi9CdcaD27zNCWvcdPWVUzp33cRPNlB62UVDCVY7bW01dfhnutPpQmxiL4xOjo6uuiPMpzg8Pdq6DJMf9mK+mETrh9H5v5r0QY3Hf/YhnMx4jt5mModXRh2TTcIMg+XgzRUtPLFNj+9L8tPRAlxLypMC3CZkQ3baqnV26b9/oX+mQ4izxSkktmt2oCnugadbSHfFJlEZ6H82RrKbPm+4FoIkS+FaQEKIcQ9SGaFE0JolgSgEEKzJACFEJolASiE0CwJQCGEZkkACiE0a97XAf7hD39YjDqEEKLg5DpAIYRmSRdYCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUAihWRKAQgjNuodmhVsohcTpU8SnzpZWZMT2tIvS5YvwkJfiBD9JoI5MWf5NJ1XOu5hISQhRUA9AAOaIvOPDf2HK4iIbzY8vUgAOhDh8oJupmavf4sPjLJlpunAhxD3mAQjAMYanO+h73VmYB7N76Y15Jy3I0f28m47CPLoQIk/kHKAQQrMkAIUQmiUBKITQrAfmHODsVFIf+gmczaIoKsaKOpwD3QTTCkqRC+9rHiwaOhpCCA21AHN9HXQOuvHu9+GrNvLx6w0E/ryOWmuO+Okgkd8vdYVCiELTSADmiJxbQdWzpegBJadwdZkd93ctGFZvoLy6BrdpqWsUQhSaRjp9RjwvN964lTj/Gaq5CpsRSp7x0jZlbSUbJ/L+r2B7I+41ha1UCFE4GmkBTpYiGh+kuMyGZZp7c5EA754OEXw/QubrghcnhCggjQRgjsjRVtpPZ+BSlP60ng0bS8fuUuMcfitEbnxNo7OGxu87McnXOYR44GkjAAdCdP40RPTiIKneEHGMGNcYAJXEiQCDNjvGpa5RCFFw2jgH+Bd2XJutRNMB/GtraN8Tor2jiX0mPXpbLd4t08TfcOHLFEIUljYCcFkpNW92UXNjgYvj25ewHiHEPUEbXWAhhJiGBOAUyvluDh8MEh/KEelq53BvaqlLEkIsEm10gefB8GgVjY9W0fjiUlcihFhs0gIUQmiWBKAQQrMkAIUQmiUBKITQLAlAIYRmSQAKITRLAlAIoVkSgEIIzZIAFEJo1gMQgENcuQ4jV5fy10uH+OPX8B9LWoMQYr4egK/C/Z5/+x18rS7ld3av8psMDF/+HBWQ31IV4v6wgBagSuq9Vry7a6ms7yR+DSBH6FUPFbu6yeS7QiGEWCTzbwFe6MT/WzctLyapr+4h/HkdtjLQjVxnMJkkPQwl92S7UuYFFkLcat5v+cS5QeyVDtRzXaR1VurMAEZc9c9hy6qYpt2jQvRoKz3JuT2GqcJL83S/0jyt1XxrDfzrN813XGtsXuCttOwvRX+ulYrdDaReDNCk30fdkSCRXR4sC54acwUPm2DZn/+v0v0V4j4y7wAs3dlCKRm6X4uje7wVp+HmfcYZZloDA47nfTgWXOad6DAsh6KVy++wzvi8wC9MMy/wuQ2UV9vvcl5gHf95OfyZwTD7qkKIe8bCOn25GH2/Bkel40aLJ3MmjsFemb/K8moe8wIPhOnsiZH9fYLUiJOGl+pwyIxJQjyQFhaA6SRfDJupsk60eFKE+k14ts/UAVzMLvAf+OLf4frowBzXH58XeON0rdUcwUNB9PUdtJgVwnu3433bwsn9Lu7ctvsjX2ThT1f/xxxrEELcCxYWgMZijMuuolwbu5k67if1hJe6GU+ALWYX+I/84WsYvqLcYZ0ckaN+ouZamsvG5wWunTQv8KEsVS+6MaKgXE4TiWWoMZdg2/gwQ8fjpIZd2O54pFT+v2sw+g1FLoMR4j6ysAA0V/HSD5O8caCBfeZi9NYaXnrmHu4njs8LrO70kMqOzQvsuWVeYO/4vMAWao4Ex2ePU0mlsqxYXymjw0I8oBb41jZg2+Hj+I78FrNoFjAvsHohQFeynLafzNb9FULcrx6Ats03ecwCvzavn3mV+c4LPBDCf9JA08E6LNdyqBhn6db+L2xcB2eM/7t0f4W4jzwA3wXOs0thDv/8Cq4dLoyXE/T8LExuqWsSQiyKB6AFmE8pAntb6Dqv0nXCB4C+wse9enGPEOLuSADewkLN0cikrrIQ4kEmXWAhhGZJAAohNEsCUAihWRKAQgjNkgAUQmiWBKAQQrMkAIUQmiUBKITQLAlAIYRmSQAKITRLAlAIoVkSgEIIzdLQjyHIvMBCiFtppgU4Ni+wG+9+H75qIx+/3kDgz+uoteaInw4S+f1SVyiEKDSNBOD4vMDPTjMv8OoNlFfX3OW8wEKI+5FGOn3znBf4ZAJ1ZJBk2oDnR824JByFeCBppAU42fi8wGXTzQsMkXfe4KTioG63F4+uh9ajkYJXKIQoDI0EYI7I0VbaT2fg0vi8wBsnzQv8VujGvB/26lfxbitFj0IuB6a10vwT4kGljQAcnxc4enGQVO/YvMDGW+YFtjMxMabe7MQ2EqFzfwshUwu+56ZrJwohHgTaCMDxeYGN6QB+pYb2PVY+62hi394WevS3zwtsWO+mbncTzsvv0vGL1BIVLYRYbNoYBJnzvMAKqTMRclY3jjWluDfp8R/qJPI3bTi1caSE0JQH5m09NBAhcCKDbmJBkRHb0y5Kl89jJ8MJet54g8wP7Ti2GlEuK+jXWjBNPUqX4gQ/SaCOTCxQiA0CRoQQ95EHJgDV/m7a+yctKLLR/Pg8A3CZg9of1dAVC9D+Vo7Ulw5a9tfcPlo8EOLwgW4GpyzWWxdUuhBiiXxjdHR0dKmLEEKIpaCNQRAhhJiGBKAQQrMkAIUQmpX/QRAlhLe6E/VRGyX6HNGPYrDJg2O1SubTMEOVPfi3y3CpEGLp5T0AlbMJzK8GaLTrId1Jde8Qnle8VBmBMwba9YULv9zpdnyns7DaRdOLbkoK9sjapsY6aX0vydByO7WvVFH6wFxrIB40eX5pqiSuleKp0AOQ+zROeq0dh3HiXgul5vw+4p0o6RzmnT4a5fKUgtLb62izKwT3tt92qZAQ95I8B6Aexzb3+P9V4rE4xsfqblxHp9/swT3TpkIIUWCLNwgyHCd2Hsrs0vwSQtybFi8A03E+U2w4bPpFewghhLgbCwhAldR7rXh311JZ30n8GkCO0KseKnZ1kxlfK3c+RvoRB/ZVeaxWCCHyaP7nAC904v+tm5YXk9RX9xD+vA5bGehGrjOYTPLrf+mm55/SpM7GAR3HD4Lz2Rqca/Jf/F3JRQkcDZK4rKBgo2q7kcj7EXKXVUw72mjeZJA6lqIOIQpo3gGYODeIvdKBeq6LtM5KnRnAiKv+OWxZlUceq2LLY8CL3vlXM5wg8OMu4kNzWLfIiLPei8c8/4dhOEHnT/qwvNBGzZoc3fVuml6vouOQm1P1XoK9cZo3ORewY6lDiPvJvAOwdGcLpWTofi2O7vFWnJMaBsYZ5tmYezWl1Oz33c0e5uZfwww+XkvdGmA4Ry4HJU+6ca5SSWzyYNtuX/wapA4hltzCLoPJxej7NTgqHUwMcWTOxDHYK/NX2WJ6tBHvo+P/H4zTP2CgbKMVDHrqXnXcsqqqZIif7iG+uo46Z567gXOuQyH+XifhVI7UhUGM27x4t1rI2/DSvOp4l1/l4Go6yZWyBl6qLkU6x+J+tbAATCf5YthMlXXipZ8i1G/Cs/0u35Lz6QJjwLmrZWFd4EnU/hjxZaU0lU1T+0CYQG+W7Jkectvq7u6B7qaO8534LzrwvezEcLGT6tp9BNYfp25dgevIBmk/0o/7mJ9GtZPKv/MRLO+iRuaNEvephQWgsRjjsqso18Zupo77ST3hpe5umyQF6gKrySAd7yu4d1Wixj5D/aYH2/hode6kj6DFS10ZsNZF3fMqoaSfU0tYh3pFIXsuQkJ14jDb2GDoIn5BgXX5aXvN+XisdtO810rxalDPZ7mywoRJmn/iPrawADRX8dIPk7xxoIF95mL01hpeeub++YGD2Il2uiMObN+zEP1kEMwllCwDcmG6zhaz9el7qw795haCm8c3upQidc2MfX3+kmfOx2OZEVu5SuR4Ox2nc3jeaMMlASjuYwv8KpwB2w4fx3fkt5hCsT75FI5sjvChMPZXfNS824n35SgGnQn37saCfXl//nXkCB0KYdjdltfu7/zqKMFZ3YDV5KOpo5MNbzfjlGs9xX1Kk7/TYdzsxb950gKna9Zt5nRaclHrUIgf8/PFFh++x/XkLoMxT8Ez5zouxQldMOAst2B8wkXp/iY6T1bi3CG/syPuT/KDqHOmLuljJ074+dXaGqqskPmkk+544avI/dJP66EgqWHgawVlqBjT2pWFL0SIPHnAW4BZ+t72kv7WAn8P8FKEwIkI0YvwheKnXXFRucNZ8N8VVCM+mt4MMkg3XQBFVhqOF7gIwPjXTTRdOkn4cDuhbArd82/yUvntJwHHfg8wTuqikcbClynEnMmscEIIzZIusBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUAihWRKAQgjNkgAUQmiWBKAQQrMkAIUQmiUBKITQLAlAIYRmSQAKITRLAlAIoVkSgEIIzZIAFEJolgSgEEKzJACFEJolASiE0CwJQCGEZkkACiE0SwJQCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQF4T8oR3GXH7mwipCx1LUI8uJYtaKuLnVRX+0luaqHvoAdDnosqqGyA2m3txEduv0u/vBjTtzbg3FpL3dbS+/t5zkDpD9J90ULVNtsD+fyEuJOFBeCDaI2DqgorukmLhi4liZ4LE3g9Ql+/j869ToxLVuDiSJw8jP/ic7glAIUGaSIA1WHQz/ZM15ZTu7vq9oC7HMX3fAPdJ30EtgZpLpth+2Huw6OZIp4chKKlrkOIpZG/c4DpTqo32ak8lEC50E3r8x7KnXbsznIqd/kIXlRvrjscp32rHfvz3WQuRencW42n3I59k5OKZ5toP525bffKhSDte6rxbHFi3+Sk/JlqmvYHiF66db3wy07sTi+hS1EO11fg3OSk5Zd38bxWOaiutMFIhuin43VdHH+uRxKk3t9H5RYn9r/rJDWxzbUU4SP7qN1egdNpx7m5HM9OL4d7U6hTdq+mQ7TvrqRi86RjlZy6FnChHc8mO54347fdlThUid1ege/85KUKiZPtNFVXjP0dNldQudtH8IIyaX+V+C8A/e147Hbsu4Lk7uJQCXG/yV+bRadHD+QudNF0Fpw79tGxVj8WXG9307pHh+Xnzdj0ALqxVsdgBN+eIIYtdeyrNqG/FCPwdjuBH3sxrDtOnXls10qsndqmANlvuqj+QRUPr4JcMkLwvXYaziXwdbXhGm+66XXAsMKvDvpI6r5LdX0xpea7e2orHzKgB4auDY0tGD9qQ+kAvo+yWLfV4jaNdyGHUwRerKU9BtaKSpp2PMzKoQzRkwG69kaIZTvp2lk6toPLYVp37SN0uQTns15cj+hR0xECe9owPnQ3FavEj9TTcDTJCruHykYrK5Uk4fe7aa3/jMyhLhrNHvbt19H14y6if+HBu8uJ0Wh94Lr4QtxJ3jttg+dzVB3vuhFerLdCPEzTR32Ef9OMbbwLqSsC0nHY20PbtvG33fpSWpQokdcjRM5kqDOXwHCCd98MkFpdhf+oF8fEiaoKD55HW9n+YpCOn1Xh2m0bf0Y6GIkSGWqh56AnD29olUR/AhU9Fsv43sbDPvlJkvJDAZof1d9YO/dRO/6YguXZLrr22Ji4x/20A311Ld3H/AS3deBZBZmTnYQu6bHtbqdjh2V8TQ9PWb1sfxnQszADPbS/mwS7l67/u4qS8b9y5eZianZ2cfynIaoOenA8uYFgEWCw4Cx3UbLAhxPifpX/y2C+7cZjnrxAj3mdCciRm9q/Wu7gqS23RpTBYsEIDF4aHFvweZi+NJRscmJRc+RyN/+pViffKYbMuejN7uf4Yzoq3HcdfmouReSYl7aTg7DWQ+UTU4YJzG48j05OKYXYJzHUIivubbZb82u5ja1bLHAtRiSmjq0bS0ORFVe55ZbdGp7w8J3ihdedOxsmruqxP/3UjfAD0K9/Dt8hP/5dThnwEIJFaAHq1xhvD56isSgYmnqpicGIaWpXr0iHrgiujIydB1PTabIjoL7XhPu9GR50JEt2GCwTz6bIhHntPJtPMR9uu2/au/RmNy0HmnAsn7LcVIJp8oLhDF/8VgV9CZa1t++nxGxCT4rMQBaGVTJZFfQmTKtve0AsJuA383sKE1IXM8AKSv5yaswZsNgdC9upEA+gpR23LNLNusrQNRUVKNnagve7M7Tplpmw3fJMdOjn2300Oal5evJlMHr0BgMl6xw4H7NgmO5I6XRTeqlDDH0N6AzopxlZNYwXNXRNBYa4OsRYd/q2dfXoFtr9BZRrV6HIhG72wyuEpt3zF27olo+db2OVBafTtngPZHJSUz/NZTDzokP3EHBZQR3htqOrqGOtWt3ysXRboQMuq9Osq6JcW3gVhuUrYOQKQ3exDyG04J7/KpzebMZUBJkLiWku0VBRlGkuGVkqy0p4+C/1oKZIDNx+d+bzNCoGLGYTLDNiXAOoWbK/n7KimiQ1dfsiHTrg+shtF9KQvXTrkTGtKwEGSX0+9YgpxHu76T4ZlctdhOA+CEAecVFuBj7toSt265tfPe+n1u2i9lhiKSqbhgHnk04MIyl634/ees2fEqHndAZWOXHZ9YARR5kFRpKET986hJP5KEhk6neAV42dWx1Mp24Nr1wfobO3rlzyuAubHqInu0lMLiIdpP11Hx2nszeXFQFDKkMLfMZC3M/u+S4wy0p5bk8NfU0BuvfUcuVZD461epTPIwTfC5Na4aKlonSpq7zBUNFAw0dRfCe81Co1VG0qgatfED3ZQyhbjHNvA67xsQnLthqc77USOVJPw6UqytfpUZIRTp7T4SiD8ORBkDVOnGV6op920nrMSN0mE1yKEzwWRLVZ4MyVsW+jAKytpPm5UzQc7aKhNotnSykGJUHkwxDxIiu1P5gYIS8eG4C5eBL/IT02o4XyZ51yOYzQjHs/AAGDvZmun1roPNZN33sdhBQV/SoLticbaK6vw2mafR8Fs8xC1VtdGI91EugN4OtVQF+Mab2Lhrdqqdk8KV7WeGg7BP6DAU594CeKgZKyp6h9qwHDO1sJX2Ds/CAAJdS83sqVn3QSPOal9oie4nVOPD/00TDow33myqR19djqj9C5xo//vY+KDn+dAAAa1UlEQVQJHg2hFBVjKavCW99AVdn4CMuyUqrqq4gdCBI+0UmyrA773zrvk1eFEHfvG6Ojo6NLXYQQQiyFe/8coBBCLBIJQCGEZkkACiE0SwJQCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaNe9r/v/whz8sRh1CCFFw8k0QIYRmSRdYCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUAihWRKAQgjNkgAUQmiWBKAQQrMkAIUQmiUBKITQLAlAIYRmSQAKITRLAvB+MRyl/UAIZanrWAS593wcvrDUVcziAT7+WiYBeN8YYuiautRFLAp15ApDI0tdxWwe3OOvZfOeEwRUUu/58J9JkRpy0vJWHbblOUKv1vH2YDVdh6oomW379zvw9yVIDdlpeasR23JAiXL4x0FKXmjDszrO4do99G16k8BuG/qFPbe5y0UJHA2SuKygYKNqu5HI+xFyl1VMO9po3mS48/bDGUI/8XEqmSO3vpEje5wYAC5HObw/xMMvtOA23X2Z83/7qaQ+9BM4m0VRVIwVdTgHugmmFZQiF97XPFhmeQUo/Z20/jRGZlCH57UOqtaNLU+9vw//YBWtz+fh7zN8tzsojHkf/+EM4aNdhNMKyjUdzh0ehnp7SAwqDD3aROuO0jkcu7H3W3tfiuzIxPsNIEf4zVbim9po3jzL61PMaP4twAud+H/rpuVFF7r+k4Q/H1usG7nOYDJJerYXczJAZ9ZNy8suDP29hH4ztliNBek5N4j6EIAOuErqQmLxuxzDCTp/0odpZxttB1pwXvbT9HoSZ70bXTpCsDc+6y4yv/AT39RC23Yj6Q9OER0/Bsq5Ho6fzaEuz1Ot82wl5fo66Bx0493vw1dt5OPXGwj8eR211hzx00Eiv59lB2qUzuPQ8GYTTjVG8JPU2PLhBKd+HiJ5hcX/cLqXzOv4q0QPdxC3N9N2wEfD+iS+pnaubG3AMZwgfDJMai7Bnwzgz3po2+vC0H+S8Pj7hUthen4RJzeim//zEDfMuwWYODeIvdKBeq6LtM5KnRnAiKv+OWxZFdMse0ycHcSxzYZ61k9SZ6XqkbHlyVg/yjcrsK0ClpVS93w5vX0lzPTZljvdjq83O6eaddZKXnreMf2+/jXM4OO11K0BhnPkclDypBvnKpXEJg+27fZZ9p4hctHC1r8xEP1xHL7VgHX8GCRin6Gaq8aeU8HliJxbQdULY60MJadwdZkd93ctGM5toLzaPmurVD0fZWjLc1gGuokMrKB0/fgGg3H60wasP7Au+rO4bykRIqqbOvvYq25w8Ao8UsVT3zaQtTqp2vIUpXN49yXODmLfbkM9d+v7RTkfI04pTWWa+gjKu3kHYOnOFkrJ0P1aHN3jrTgnpYqxzIZl1u29lJKj+3Qc3aaJ7VNE+zMU2zbcfFEU6bFutM7YwjBuaca3Zb7VT+PRRryPjv9/ME7/gIGyjVYw6Kl71XHLqqqSIX66h/jqOupuPPESql6uAyVM19khbPWusVMAwwmi8UGKN44dk+m3nUE6iO9IhNzkZSM5khdU9r0cufWY6OzUvlo1zZvJiOflxhu3EufHw9gIJc94aZu0Zi4SIHAuS+43CQa/VcO+3S5KloF+UyNeIHUkRNL4XZofHXtkddKbb6Ztp6cQPfYGPcmhW49r6jPSn3jJTvmgMG3x0rzFeOdjtRjycfwNLpr3jP9/OMFn8UFK7A4sy4xYdrXhnGMpN94vvXF0m1puvN8Sn36G+k3PEn24PjgWcA4QyMXo+zU4Kh03XgyZM3EM9sq5bX85QqQfHK+Mt8qUOPHP9ZRut91YJXlexbatsC9+tT9GfNkMn6oDYQK9WbJneshtq7t920/DRK9ZqXtivObLcfq/1LOhtnTWbW9j9uA94Ll12XCE1h/naN7vmbFVPLPULWF8CyWM/8QVKg94KS2K4/teE20WG/4bxz5D+GyK4k3N2MYPSzz+GepaDzbdbNtOZcCxsw3HlKWZ4/vosbXRXDbvJ7Y48n38B8deCwtuMY+/X2yvjJ9bJkW8f5Bim2NOrUgxs4UdvnSSL4bNVFknXgopQv0mPNvn2BwfSJEeNlExsf347fJ147eH4/wqV4pn7cy7mE8XGGslLTN0gdVkkI73Fdy7KlFjt36q5k76CFq81JUBa13UPa8SSvo5Nc1+sp+nGFrjwLZ6fL/9cRLDVurKDGC687aLI0fkqJ+ouZbmsij96fEwBlDjHD6UpepFN0ZVQUlHiKQbKV1vxW4d4tSnSZgIseEkqbSe0m0Tgx3jb76NGygdyd15Wy1T4gQOhTBsb8L1eYz4sPXmB+vFAL5/ceJ91gIXQxw+cYqkwYXLkCGnZokPOPDu99wcTEwnSWNm6/82/grOxYmn9Wz4filci9N9tJvIgAXX45AZVEjHh3C/6sUlf4ZZLSwAjcUYl11FuTZ2M3XcT+oJL3Xjf1811k5VU5Dixi66qqfpFBcbKV52hcFLKqzTkzoXJzdyhSFFBfRkPgpytbz5jqPJ+eoCx0600x1xYPuehegng2AuGevC5cJ0nS1m69Nz24/BsBJGhsZGCtUUwfciKGsrsa+++xoXZCBE509DqDs9pLIh4hjxrDEAKokTAQZtXowARg++k+OtneEsqQEdpdvMk3ZkYKUBBkdUwIAS6SGU1FP6rA2Mhlm2XSwZgrtr8KVd+I63cNsZhXQ3DTs7yD7dTvcex22nUVLv1FLz9wqVhwI3uvX5ppzpxP9+Gs8T1dAbRdU7Ma4ChjME30lg/kENoBI9l+M7FRZ6fxzF8A9teFZFafUEiCkeSiae14piVsD4aLlK/EQ3sWErDRsNKGfj6J92Yaj3k3y2C+82HaE9W4lc8OLavChP7YGysAA0V/HSD5O8caCBfeZi9NYaXnpm0sfNMh0rHlqJYfkMI1SmSrw/SuD7+2a8H+jAXIPvhRCHDzbgNZswWKto3lqYoX3rk0/hyOYIHwpjf8VHzbudeF+OYtCZcO9unHMXw/h0Ew3nWml/0UvJcoXUBQVD+YZZLzNZNH9hx7XZSjQdwL+2hvY9Ido7mthn0qO31eKd5txa5hd+ItYWfNsnffQsc1D7ggfvO168MSNcSpLCimejYfZtF40eluvQGQzoiqa5uwh0y1ewwjBDuOn1rFgBBt3iDSAYNroo3xgi90EHfNdH2yo/gT37CC/XY9n+EnVrx55H6VYPVz7ywncbxlps2SSphyx4Hpq0s3VVND8Xp31/E8k1epRkGtU09uFqMHhwDbxL91o3bXYDDCf44rclmP5y0Z7ag2VUzMP10VM/eny0/r9fue2erzJfjV6fuPHvJ0brH39ydE/oypy2nZM//Wr09Vd+MbrArWf11T8dGn2967PRK6PXR7/6atKj/PGr0S+/mrhxffSf/9tfjT5WdWj0iz/NYds5+jKwd/Tt+F2Vv/gW7fhfH/34lb8a3fOPY6+er/777tGtbf88ev2P12+8nq5/9eXoVxM3/vTF6KGqx0b/6r/98409fNVTP7p14nbq6Oj3qw6N/vr69dHrk/5GYnryTZAFufWSWKXXS+W2ajpiY7dTHwWJFz9F5RPTnnVc2EMus1HzA+cCBkBmp8Q66UpvoPZpE2o6ROCDm9f7Hd7pxrOve2xEVIkQ7LuK47/evIB6xm3noWRLHZWP5O3pLI7FOv7DSeLJEmzr9YBC7Gwa+xMm+k4EyQIMdNP8Xz00HBs7ruq/Bun90oJn28RQkkoy/gXWsrHzu5lIhCHnd9B/FKDvcr6LffDIGNJcXYoQOBEhehG+UPy0Ky4qdzgpAXIDGYZM38FuBvViAN/Pr+Le24Bj+ezbzp0Bi3kR4i8XonWPn7AC3QfHFjn2hsb+M5Il/TsDjq0OjChEDvqJWBro+tuS2bedjzWWeR6LpbBIx//rFFmDE/dqAB3Fa00o54Jc+S/PjY3YX0rzRZEVz/9pgmtxOt8KsuL7HdTdGFDOkRosxT5+SmLlGgvGC2HCZjc1Mggyq2+Mjo6OLnUR972BEK0Hw6gGA1wDy183UOd8EF59CvGjrXReNGDUKairnNTUeyjN1zdbxOzUBN37/cQwYhhR0NtqaHjWtig9AS2SABRCaJacAxRCaJYEoBBCsyQAhRCaJQEohNAsuQxGiHxRU0Q+iJKZ+ruBK0p56pn8j9wqF0Kc6r9y23LjYx5c6+RnsuZCAlCIfPk6TuBNH9GpAWiuxVZhy/svt+TOdOI7evuF5449LgnAOZIAFCLPnK/20VGA77Jb6nuI1U9aoIbwuvbJxE3zIOcAhRCaJQEohNAsCUAhhGZJAApRaLkIh/c0UVtdzb4PMzcWq/0BvHu75zZbnMgLCUAhCkoh/PenKHnBR501S19v7MagRfzku4QHFBmaLCAJQCEK6XKU+CoP7tVJIjEFk9U6dn3gxCyCc5hZUeSPBKAQhbTKRfMuB/rzIT6+ZKF8y/hEVYPxsYmrbGMzIyrZOKFDhwldWsJaNUACUIglED8TYXCtE9f4L2Gr/TESWLGPz7X87ukQwfcjZL5e2jofdBKAQhScQurzHAar7cbUAsl4EmWtHdtqMDpraPy+E5N8mWPRSQAKUXA6DAYdQxNfmcuGCHycwWBbwlkENUoOtxAFp8dZ30z5a500vxzCMJThs0t6bI/Zbp3DWC6HWXQSgEIUnEJO56Lt2Nik8kqvl63nVuK0y0wfhSZdYCEKSiW6fzue77USVgFyhD+MwhMeXGuWujbtkQAUoqAUUgNXKd7kxKqHzIc+Dn/uoHm3m4l5BJXz3Rw+GCQ+lCPS1c7h3vnPtSzmRrrAQhSUEdf3K4l9EKVrfxRFNfPSkTpcpptrGB6tovHRKhpfXLoqtUICUIgCM25uxrd5qasQIF1gIYSGSQAKITRLAlAIoVkSgEIIzZJBECHE4lNCeKs7UR+1UaLPEf0oBps8OFarZD4NM1TZg3+7cfb95JkEIMDFIK1HIyiY8bzciHPVUhckllwuzOGfhEhjxLXLi3vtUhd0f1POJjC/GqDRrod0J9W9Q3he8VJlBM4YaNcXPvxAAnDM5STqxiZ8z5YsdSXiXmF00XjAReadfQRlnsm7pJK4VoqnYuybzrlP46TX2nEYJ+61UGpemsokAIUQi0yPY5t7/P8q8Vgc42N1N375Wr/Zg3umTReZDIIIkS8jV7kG/PHqUhWg8Mf/gGv3cot1OE7sPJTZrUtdCSABKET+XP03Bkbgf1xcogRUv+CLYRj4t/93aR5/LtJxPlNsOGz3xq+9LiAAVVLvteLdXUtlfSfxawA5Qq96qNjVTWa2zVFJve8b3/7w+PaAEuXwi/sIDgBqnMPVFVQejKPOv0AhRMHNLRdy52OkH3Fgn3GgsbD5MP9zgBc68f/WTcuLSeqrewh/XoetDHQj1xlMJkkPQ8md9poM0Jl10/KyiabKHkK/acT2KKixID3nBml4CEAHXCV1IYHClB+JLLThDOGjXYTTCso1Hc4dHoZ6e0gMKgw92kTrjtIC1aeS+tBP4GwWRVExVtThHOgmmFZQilx4X/No+9eEc1ECR4MkLiso2KjabiTyfoTcZRXTjjaaN91Dv7WXi3D4jW5i2Rym7/toe2Zs8E3tD9Dycx0Nr1Xdf3/LWXLh1//STc8/pUmdjQM6jh8E57M1OKf+BFiB82HehzlxbhB7pQP1XBdpnZU6M4ARV/1z2LIqpln2mDg7iGObDfWsn6TOStX4pDDJWD/KNyuwrQKWlVL3fDm9fSXM9LLNnW7H15udU806ayUvPe+YcV8zU4ke7iD+eAtt9QYSRyqpaWqn9kgbjp/W0noyTO33SyktwIs119dB5+BWWvaXoj/XSsXuBlIvBmjS76PuSJDILg8W0+z7eSANJ+j8SR+WF9qoWZOju95N0+tVdBxyc6reS7A3TvMm5+LX8T+vY20R/KeHV9xhpZvzAm846sbbG0N5Zux1PjYvcBUNC3096R/GvAyuPnKnx58iHaT1UIQ5nTZ8yE7tq1XTvt5ny4VHHqtiy2PAi947PkS+8mGu5n2oS3e2UEqG7tfi6B5vxTmpAuMc5jQt3emllBzdp+PoNk1snyLan6HYtuHmwS3SY91onTHdjVua8W2Zb/XzpESIqG7qxn+pd3DwCjxSxVPfNpC1Oqna8lRBwg9yRM6toOqFsdamklO4usyO+7sWDOc2UF5tx63V8AP41zCDj9dStwYYzpHLQcmTbpyrVBKbPNi22wtTxzIDywHdyjusMz4vcMPqJB0xBVPFlHmB7XczL7ABw58B/1k3903MHlre9Cz4ESfcbS7c3E9+8mGuFvb2zcXo+zU4Kh03CsiciWOwV85t+8sRIv3geGW8VabEiX+up3S77cYqyfMqtm1Lc3HkDQYXzXvG/z+c4LP4ICV2B5ZlRiy72rilTTGskvs8QrBXwdWY7+6oEc/LjTduJc5/hmquwmaEkme8tE1aMxcJEDiXJfebBIPfqmHfbtedT0k8CB5txPvo+P8H4/QPGCjbaAWDnrpXHUta2m1WuWjeBcR8fHzJgmfqvMC1NhgI09kTI/v7BKkRJw0v1d24Zu6edre5MKGA+bCwt0Y6yRfDZqqsEzGfItRvwrN9jnk8kCI9bKJiYvvx2+Xrxm8Px/lVrhTPHa6+n08XGGslLQvqAk8yGKf/Sz3WH0w3fK8S/6CT6ECS7j4LjsZpVsmb1FhLYeM0n6pKGP+JK1Qe8FJaFMf3vSbaLDb8S/1BUkBqf4z4slKaypbgzPHVi2T+A/5TWoVZXm1j8wKX3zYvcEOZQvBgEH19By1mhfDe7XjftnByv2v216/6W9J/gusX/wjM8W8+ny6wzkbNazXYZkqNu82FCXnIh7laWAAaizEuu4oyPkKTOu4n9YSXuvHnqcbaqWoKUtzYRVf1NI3fYiPFy64weEmFdXpS5+LkRq4wpKiAnsxHQa6WN3On72UUpgscJ3AohGF7E67PY8SHrTffWBcD+P7FifdZC6DHtq0RW/Iwob6hRSgkR+Son6i5luay6HhLYbzloMY5fChL1YtujKqCko4QSTdSut6K3TrEqU+T8IAHoJoM0vG+gntXJWrsM9RvesbOFQG5kz6CFi91ZZA53cnx03GwuzDlMlwZTJI0N9BRXZqfQkYUro5C0eU/zbLiTPMCV2BbrRC7nCYSy1BjLsG28WGGjsdJDbtmDp4b/oAyCuqVeYyN5qkLDMyaC3OWh3yYq4VdB2iu4qUfWokeaGDfq/sIUMNLz0x6ky3TseKhlRiWz3AuwlSJ90cOUn/fjPflJvxqDb4XNvDZwQa8e/fRddlDQ/nSj9opZzrxvx8heSlHuDeKqjdhXAUMZwi+k8D8+MLP1szLQIjOn4aIXhwk1RsijhHjGgOgkjgRYNBmH/u8N3rwnTxO3XpgOEtqQEepzZzfWi6H2feMk/I9IXLT3J370EuFs4J9p6drU+QIvliO85lWwnm8WDd2op3uvjjZwRihTwbBWDLW7c+F6TpbjPPbwHCKSLaUrdYcp/pUyp9vpHG7lVxfbA6XbuXbneYFtlBzJIh/ewmgkkplWbHedn+MCs+WC3NVwHxY4GE1YNvh4/iO6e/VP9rI8dN36gfqKd3WRte2yctcOKsXVs1iMWx0Ub4xRO6DDviuj7ZVfgJ79hFersey/SXqCvUF+b+w49psJZoO4F9bQ/ueEO0dTewz6dHbavFuuf1FlvmFn4i1Bd/2PH+/uUiPXqdjpWGGDze9jv/poZWsnPFuHboVhrxeOmR98ikc2RzhQ2Hsr/ioebcT78tRDDoT7t2N4yfOTTy1zUjk9RzO7R5KloFyMU3O5J5rZzGP5jYvsHohQFeynLafzKH7e0+4cy7MXQHzYVSMjkbfGN378y/vfj+JQ6Pb//qN0c/+dPe7uhtf/dOh0de7Phu9Mnp99KuvrixtMfeSP/3z6Bt/Uz964t9HR0dHr49+/MrW0T2hK6PX/3h9xk2+/Ie9o4f+nznu/w+/GK3/Px4b3R2c7ZhfGf0yc3OdK6E9o08+PlHXuN+eGn37v50Y/fUfR0evf/XV6MwVTnL91Oiexx8brf/5V3MsWMhX4R4wSqyTrvQGap82oaZDBD6QKRVv+F2ShK4MWzGgxoj0m3GWxel5P1nAIuYwL/ClMId/fgXXDhfGywl6fhae9nSDuHv3w5mFgkie9OH91LrA3wNUSZzsJHQuQk6BwMHDON11eNYXeCQyF6J1j5+wAt0HxxY59oYKW8O9LJVCtbvHz6cVYzJD/GQK17aa29cd/z3A/oEc1rxeRjjDvMA/neiKpwjsbaHrvErXCR8A+gof87yQRMzRN0ZHR0eXugghHgiXgzRUtKLb20fH1pnP2uXOtOP7IIdhFSiqCfcP6nCtzcOHpRrC69qHsjuE/9kHe+Q/X6QFKESBybzA9w45ByiE0CwJQCGEZkkACiE0SwJQCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUIhCy0U4vKeJ2upq9n148/eo1f4A3r3dpIaXsDaNkQAUoqBuzgtcZ83S1xu7MSHR2LzAivxESQFJAApRSOPzArtXJ4nEFEzWKfMCz2MOXXH35LNGiEKa67zAJxOoI4Mk0wY8P2rGpeWJ7xeRtACFWAJj8wI7b5sX2F6mJ/LOG5xUHNTt9uLR9dB6NLK0xT7ApAUoRMHdaV5gsFS/ilctRY9CLgcmpzT/Fou0AIUouDvNCwx6sxPbSITO/S2ETC34npOzgotFWoBCFNzs8wIb1rupW2uGva10/MKKb7uE4GKQFqAQBaeQ07loO3Yc/wEfLRUlDOltOO0GQCF1JkT0EmAoxb1JT/hQJxG5NnBRSAtQiDzLxoJ0f627uWBFKU89Yxu73GV8XuCG3g34/tGHSz8xL/BLY/MCDyfoeeMNMj+049hqRLmsoF9rwTTNO1W5EOJU/5WbC4aTZIZh5eI+vQeKBKAQeZb6qB3fR5MWmGuxVdgoXQazzgu8zEHtj2roigVofytH6ksHLftrpr02MHemE9/R2ye+dyzKs3owybzAQhTYos0LLOZNAlAIoVkyCCKE0CwJQCGEZkkACiE0SwJQCKFZEoBCCM2SABRCaJYEoBBCsyQAhRCaJQEohNAsCUAhhGZJAAohNEsCUAihWf8/uMQsQKY9DCcAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": { | |
"image/png": { | |
"width": 250 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/vec_1.png',width=250)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Orthogonal and Orthonormal Vector\n", | |
"## Orthogonal Vector\n", | |
"본인을 내적했을 때 k가 나오고, 서로 다른 벡터와의 내적은 0이 되는 vector이다.\n", | |
"즉, 두 벡터가 직교하지만 각 벡터의 크기는 1이 아니다.\n", | |
"\n", | |
"$$x^T_ax_b=k, \\ \\ if \\ \\ a=b$$\n", | |
"$$x^T_ax_b=0, \\ \\ if \\ \\ a \\neq b$$\n", | |
"\n", | |
"## Orthonormal Vector\n", | |
"본인을 내적했을 때 1이 나오고, 서로 다른 벡터의 내적은 0이다.\n", | |
"즉, 두 벡터는 직교하고, 각 벡터는 단위벡터이다.\n", | |
"\n", | |
"$$x^T_ax_b=1, \\ \\ if \\ \\ a=b$$\n", | |
"$$x^T_ax_b=0, \\ \\ if \\ \\ a \\neq b$$\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Linearly Combination\n", | |
"벡터 v가 $c_1, c_2, \\dots, c_k$ 상수로 아래 수식처럼 구성된다면 그것을 **선형결합**이라한다.\n", | |
"\n", | |
"$$v = c_1v_1+c_2v_2+\\dots+c_kv_k$$\n", | |
"\n", | |
"예를 들어 $R^3$에서 벡터는 i,j,k벡터의 선형결합으로 표현 될 수 있다.\n", | |
"\n", | |
"$$ i=(1,0,0), \\ j=(0,1,0), \\ k=(0,0,1)$$\n", | |
"$$ v=(a,b,c)=a(1,0,0)+b(0,1,0)+c(0,0,1)$$\n", | |
"\n", | |
"# Space Spanning\n", | |
"$S=(v_1,v_2,\\dots,v_k)$이고, S의 벡터들을 이용하여 아래와 같이 선형결합한 W를 나타낼 수 있다면 이를 공간이 **span**한다고 표현한다.\n", | |
"\n", | |
"$$W=c_1v_1+c_2v_2+\\dots+c_kv_k$$\n", | |
"\n", | |
"# 벡터기저\n", | |
"아래의 조건을 만족하면 벡터기저\n", | |
"\n", | |
"- $(v_1,v_2,\\dots,v_k)$가 선형 독립이다.\n", | |
"- $(v_1,v_2,\\dots,v_k)$가 W를 span한다.\n", | |
" - 즉, 모든 벡터에 대해 $v_1,v_2,\\dots,v_k$의 선형 결합으로 표현할 수 있음을 말한다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# linearly independant\n", | |
"Y = AX에서 Y가 주어진다면 항상 해 X가 존재할까?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": { | |
"image/png": { | |
"width": 150 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_1.png',width=150)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"위 식에 Vector Y=[1,0]을 넣어보면, 아무리 계산해보아도 해가 없다.\n", | |
"\n", | |
"위 식에서 A부분을 보면 [1,2]와 [2,4]는 상수배 관계에 있어 사실상 같은 정보를 가지고 있다고 볼 수 있다.\n", | |
"\n", | |
"연립방정식을 풀기 위해서는 미지수 갯수만큼의 조건식이 필요한데, 위에서는 조건식이 1개뿐이므로 해를 구할 수 없다.\n", | |
"\n", | |
"**이 식은 항상 해를 가지는가? = 이 조건식들이 서로 독립인가?**이다.\n", | |
"\n", | |
"\n", | |
"## Linearly Independant의 정의\n", | |
"$$c_1v_1+c_2v_2+\\dots+c_nv_n \\neq 0 \\ \\ (except \\ for \\ c_1=c_2=\\dots=c_n=0)$$\n", | |
"\n", | |
"를 만족할 때, vector v1, v2, ..., vn은 서로 linearly independant하다고 말한다. \n", | |
"\n", | |
"바꾸어서 말하자면, 어떠한 한 vector를 다른 벡터들의 조합으로 만들 수 없다. 예를 들어, v1을 만들기 위해 아무리 v2, v3, ...,vn을 조합해봤자 만들 수 없다.\n", | |
"\n", | |
"\n", | |
"### Linearly independent한 조건식의 개수 구하기." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": { | |
"image/png": { | |
"width": 80 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_2.png',width=80)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"1) 1행 1열의 원소를 기준으로, 아래 조건식들의 1열 원소가 모두 0이 되도록 빼줍니다.\n", | |
"\n", | |
"2) 2행 2열의 원소를 기준으로, 아래 조건식들의 2열 원소가 모두 0이 되도록 빼줍니다.\n", | |
"\n", | |
"$$\\dots$$\n", | |
"\n", | |
"3) 마지막 n행 n열의 원소를 기준으로, 아래 조건식들의 n열 원소가 모두 0이 되도록 빼줍니다. \n", | |
"\n", | |
"이러한 과정을 통해, 모든 원소가 0인 영벡터가 되지 않은 Vector는 1행,2행 Vector입니다.\n", | |
"\n", | |
"즉, Linearly independent한 조건식의 수는 2개입니다. \n", | |
"\n", | |
"**Rank** : linearly independent한 조건식의 수.\n", | |
"\n", | |
"Rank에는 좋은 성질들이 있는데, 위 식의 matrix를 전치해서 구해도 똑같이 rank가 2가 나온다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## vector space\n", | |
"vector space: N차원 공간의 모든 점들의 집합.\n", | |
"\n", | |
"즉 2차원 vector space는 2차원 공간의 모든 점을 의미하고, 3차원 vectro space는 3차원 공간의 모든 점을 의미.\n", | |
"\n", | |
"Vector Space는 선형대수학에서 다루는 여러 가지 Vector들이 존재하는 공간이다.\n", | |
"선형대수는 쉽게 말해, Vector와 SubSpace가 이 Vector Space에서 어떻게 존재하는가를 다룬다고 보시면 됩니다.\n", | |
"\n", | |
"여기서 핵심은 각 Vector들이 같은 차원의 공간을 공유할수도 있고, 다른 차원의 공간에 존재할 수도 있다. 머신러닝에서 다루는 대부분의 Matrix는 다른 차원의 공간들의 관계입니다. \n", | |
"\n", | |
"### 같은 차원의 공간을 공유할 때.\n", | |
"다음과 같은 식이 주어졌다고 할 때." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": { | |
"image/png": { | |
"width": 300 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_4.png',width=300)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 9, | |
"metadata": { | |
"image/png": { | |
"width": 400 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_3.png',width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"위와 같이 X가 존재하는 vector space에서 y가 존재하는 vector space로 1:1 매칭이 된다. 즉, **X 위의 한 점이 Y 위의 한 점으로 매칭이 된다**. 이 때, 우리가 구하고자 하는 해는 한 개만 나오게 된다.\n", | |
"\n", | |
"### 다른 차원의 공간을 공유할 때" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 13, | |
"metadata": { | |
"image/png": { | |
"width": 400 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_6.png',width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"(y1, y2) = (0,0)을 만족하는 vecor X는 무엇이 있을까?\n", | |
"\n", | |
"$$ (0,0,0), (0,1,1), (0,2,2) \\dots $$\n", | |
"\n", | |
"이전과 달리, 해가 하나만 존재하는 것이 아니라 집합으로 존재하게 된다.\n", | |
"\n", | |
"즉 다른 차원끼리 매칭을 하면 Y공간 한 점에 ,X 공간의 해 집합이 매칭된다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 고유 벡터와 고유 값\n", | |
"\n", | |
"$$A^n \\cdot x = b $$\n", | |
"\n", | |
"의 해를 어떻게 구할 것인가가 핵심이 된다.\n", | |
"\n", | |
"간단하게 생각해서 그냥 A를 여러번 반복 곱을 시행하여 구하면,\n", | |
"\n", | |
"$$A \\cdot x = b $$\n", | |
"\n", | |
"와 같은 식이므로 풀 수 있지 않나? 하는 생각이 들 수 있다.\n", | |
"\n", | |
"이론상으로는 물론 가능하다. 하지만 실제로는 행렬 곱을 저만큼 시행하게 되면,\n", | |
"행렬이 작다면 그나마 낫지만 어느정도 큰 사이즈가 되면 연산량이 매우 많아져 \n", | |
"실행하기 어렵다.\n", | |
"\n", | |
"Eigen Vector와 Eigen Value의 핵심은 **복잡한 matrix의 곱셈을 scalar의 곱셈으로 바꾸어 준다**는 데에 있습니다.\n", | |
"\n", | |
"## Eigen Vector와 Eigen Value의 정의\n", | |
"기하학적인 의미로는 v라는 벡터가 A에 의해 선형 변환 되었을 때, 방향은 그대로인데 magnitude만 변하는 상태를 의미한다.\n", | |
"\n", | |
"$$ A \\cdot v = \\lambda \\cdot v $$\n", | |
"$$ v: Eigen \\ vector, \\ \\lambda: Eigen \\ value$$\n", | |
"\n", | |
"이걸로 어떻게 위의 문제를 해결할까?\n", | |
"\n", | |
"$$A^n \\cdot x = A^{n-1} \\cdot \\lambda x = A^{n-2} \\cdot \\lambda^2 x = \\lambda^nx$$\n", | |
"\n", | |
"즉 matrix를 곱했을 때의 엄청난 연산량에 비해 n번의 곱셈으로 연산량이 엄청 줄어드는 것을 볼 수 있다.\n", | |
"\n", | |
"하지만, 저 식이 가능한 것은, x가 eigen vector일 경우에만 가능하다.\n", | |
"\n", | |
"이 문제를 해결하기 위해서는, Vector x를 eigen vector의 조합으로 구해 풀면된다.\n", | |
"\n", | |
"예를들어, \n", | |
"\n", | |
"$$ x=c_1v_1+c_2v_2 \\ \\ \\ \\ 단, \\ v_1, \\ v_2는 \\ eigen \\ vector$$\n", | |
"\n", | |
"$$ A^nx = A^n(c_1v_1+c_2v_2)=c_1A^nv_1+c_2A^nv_2=c_1 \\lambda^n_1v_1+c_2\\lambda^n_2v_2$$\n", | |
"\n", | |
"## $\\lambda와 \\ v$구하기\n", | |
"$det(A-\\lambda I) = 0$을 통해 구할 수 있다.\n", | |
"\n", | |
"이를 통해 구한 $\\lambda$를 행렬식에 대입하여, 각 $\\lambda$와 대응하는 eigen vector를 구할 수 있다.\n", | |
"\n", | |
"## Eigenvalue와 Eigenvector의 성질.\n", | |
"- 고유값과 고유벡터는 정방행렬일 때만 정의된다.\n", | |
"- 고유 벡터들은 unique하지 않다.\n", | |
"- $\\lambda$값이 0이면 역행렬이 존재하지않는다\n", | |
"\n", | |
"## 행렬 대각화(Matrix disgonalization)\n", | |
"$P=[v_1,v_2,\\dots,v_n]$이고 v가 모두 eigenvector일 때,\n", | |
"\n", | |
"$$P^{-1}AP=\\Lambda$$\n", | |
"\n", | |
"위 수식을 만족하는 경우, 행렬 대각화가 가능하다고 말할 수 있다.\n", | |
"\n", | |
"만약 행렬 A가 대각화가 가능하면 상응하는 eigenvector들은 $R^n$의 기저가 된다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 17, | |
"metadata": { | |
"image/png": { | |
"width": 400 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/vec_2.png',width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 행렬 대각화 성립조건.\n", | |
"행렬 A의 eigen vector가 모두 선형 독립이면 대각화가 가능하다.\n", | |
"- 모둔 벡터가 선형 독립이어야 역행렬이 존재.\n", | |
"\n", | |
"eigen value가 각각 고유하면 선형 독립이다.\n", | |
"\n", | |
"eigen value가 고유하지않으면 행렬 대각화가 될 수도 있고 안될 수도 있다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 행렬 분해\n", | |
"행렬 A의 대각화가 가능하면 A는 행렬 분해가 아래와 같이 가능하다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 18, | |
"metadata": { | |
"image/png": { | |
"width": 400 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/vec_3.png',width=400)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Matrix Trace\n", | |
"행렬의 대각선 원소들의 합.\n", | |
"\n", | |
"# Matrix Rank\n", | |
"$$ determinant = ad-bc$$ \n", | |
"\n", | |
"**rank** : 정방행렬의 부분행렬로써 $ det \\neq 0$을 만족하는 가장 큰 dimension의 크기.\n", | |
"\n", | |
"다른 정의로는, 열 벡터 기준으로 **선형 독립인 벡터의 갯수**를 의미한다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 기초\n", | |
"**선형대수학**이란, 벡터와 한 벡터 공간에서 다른 벡터 공간으로의 변환을 다루는 수학.\n", | |
" \n", | |
"벡터 : 연속 또는 이산 숫자의 배열.\n", | |
"\n", | |
"벡터 공간 : 벡터로 구성된 공간.\n", | |
"\n", | |
"스칼라 : 1차원 벡터. 크기만 존재하고 방향이 존재하지 않음.\n", | |
"\n", | |
"행렬 : 2차원 배열.\n", | |
"\n", | |
"텐서 : 다차원 배열. 벡터(1D텟너), 행렬(2D텐서). 주로 데이터 저장 및 처리에 사용.\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": { | |
"image/png": { | |
"width": 250 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/vec_1.png',width=250)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Orthogonal and Orthonormal Vector\n", | |
"## Orthogonal Vector\n", | |
"본인을 내적했을 때 k가 나오고, 서로 다른 벡터와의 내적은 0이 되는 vector이다.\n", | |
"즉, 두 벡터가 직교하지만 각 벡터의 크기는 1이 아니다.\n", | |
"\n", | |
"$$x^T_ax_b=k, \\ \\ if \\ \\ a=b$$\n", | |
"$$x^T_ax_b=0, \\ \\ if \\ \\ a \\neq b$$\n", | |
"\n", | |
"## Orthonormal Vector\n", | |
"본인을 내적했을 때 1이 나오고, 서로 다른 벡터의 내적은 0이다.\n", | |
"즉, 두 벡터는 직교하고, 각 벡터는 단위벡터이다.\n", | |
"\n", | |
"$$x^T_ax_b=1, \\ \\ if \\ \\ a=b$$\n", | |
"$$x^T_ax_b=0, \\ \\ if \\ \\ a \\neq b$$\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Linearly Combination\n", | |
"벡터 v가 $c_1, c_2, \\dots, c_k$ 상수로 아래 수식처럼 구성된다면 그것을 **선형결합**이라한다.\n", | |
"\n", | |
"$$v = c_1v_1+c_2v_2+\\dots+c_kv_k$$\n", | |
"\n", | |
"예를 들어 $R^3$에서 벡터는 i,j,k벡터의 선형결합으로 표현 될 수 있다.\n", | |
"\n", | |
"$$ i=(1,0,0), \\ j=(0,1,0), \\ k=(0,0,1)$$\n", | |
"$$ v=(a,b,c)=a(1,0,0)+b(0,1,0)+c(0,0,1)$$\n", | |
"\n", | |
"# Space Spanning\n", | |
"$S=(v_1,v_2,\\dots,v_k)$이고, S의 벡터들을 이용하여 아래와 같이 선형결합한 W를 나타낼 수 있다면 이를 공간이 **span**한다고 표현한다.\n", | |
"\n", | |
"$$W=c_1v_1+c_2v_2+\\dots+c_kv_k$$\n", | |
"\n", | |
"# 벡터기저\n", | |
"아래의 조건을 만족하면 벡터기저\n", | |
"\n", | |
"- $(v_1,v_2,\\dots,v_k)$가 선형 독립이다.\n", | |
"- $(v_1,v_2,\\dots,v_k)$가 W를 span한다.\n", | |
" - 즉, 모든 벡터에 대해 $v_1,v_2,\\dots,v_k$의 선형 결합으로 표현할 수 있음을 말한다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# linearly independant\n", | |
"Y = AX에서 Y가 주어진다면 항상 해 X가 존재할까?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": { | |
"image/png": { | |
"width": 150 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_1.png',width=150)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"위 식에 Vector Y=[1,0]을 넣어보면, 아무리 계산해보아도 해가 없다.\n", | |
"\n", | |
"위 식에서 A부분을 보면 [1,2]와 [2,4]는 상수배 관계에 있어 사실상 같은 정보를 가지고 있다고 볼 수 있다.\n", | |
"\n", | |
"연립방정식을 풀기 위해서는 미지수 갯수만큼의 조건식이 필요한데, 위에서는 조건식이 1개뿐이므로 해를 구할 수 없다.\n", | |
"\n", | |
"**이 식은 항상 해를 가지는가? = 이 조건식들이 서로 독립인가?**이다.\n", | |
"\n", | |
"\n", | |
"## Linearly Independant의 정의\n", | |
"$$c_1v_1+c_2v_2+\\dots+c_nv_n \\neq 0 \\ \\ (except \\ for \\ c_1=c_2=\\dots=c_n=0)$$\n", | |
"\n", | |
"를 만족할 때, vector v1, v2, ..., vn은 서로 linearly independant하다고 말한다. \n", | |
"\n", | |
"바꾸어서 말하자면, 어떠한 한 vector를 다른 벡터들의 조합으로 만들 수 없다. 예를 들어, v1을 만들기 위해 아무리 v2, v3, ...,vn을 조합해봤자 만들 수 없다.\n", | |
"\n", | |
"\n", | |
"### Linearly independent한 조건식의 개수 구하기." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": { | |
"image/png": { | |
"width": 80 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_2.png',width=80)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"1) 1행 1열의 원소를 기준으로, 아래 조건식들의 1열 원소가 모두 0이 되도록 빼줍니다.\n", | |
"\n", | |
"2) 2행 2열의 원소를 기준으로, 아래 조건식들의 2열 원소가 모두 0이 되도록 빼줍니다.\n", | |
"\n", | |
"$$\\dots$$\n", | |
"\n", | |
"3) 마지막 n행 n열의 원소를 기준으로, 아래 조건식들의 n열 원소가 모두 0이 되도록 빼줍니다. \n", | |
"\n", | |
"이러한 과정을 통해, 모든 원소가 0인 영벡터가 되지 않은 Vector는 1행,2행 Vector입니다.\n", | |
"\n", | |
"즉, Linearly independent한 조건식의 수는 2개입니다. \n", | |
"\n", | |
"**Rank** : linearly independent한 조건식의 수.\n", | |
"\n", | |
"Rank에는 좋은 성질들이 있는데, 위 식의 matrix를 전치해서 구해도 똑같이 rank가 2가 나온다." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## vector space\n", | |
"vector space: N차원 공간의 모든 점들의 집합.\n", | |
"\n", | |
"즉 2차원 vector space는 2차원 공간의 모든 점을 의미하고, 3차원 vectro space는 3차원 공간의 모든 점을 의미.\n", | |
"\n", | |
"Vector Space는 선형대수학에서 다루는 여러 가지 Vector들이 존재하는 공간이다.\n", | |
"선형대수는 쉽게 말해, Vector와 SubSpace가 이 Vector Space에서 어떻게 존재하는가를 다룬다고 보시면 됩니다.\n", | |
"\n", | |
"여기서 핵심은 각 Vector들이 같은 차원의 공간을 공유할수도 있고, 다른 차원의 공간에 존재할 수도 있다. 머신러닝에서 다루는 대부분의 Matrix는 다른 차원의 공간들의 관계입니다. \n", | |
"\n", | |
"### 같은 차원의 공간을 공유할 때.\n", | |
"다음과 같은 식이 주어졌다고 할 때." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": { | |
"image/png": { | |
"width": 300 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image('../image/lin_4.png',width=300)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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 |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment