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May 19, 2023 18:22
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howMatrices_transform.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyPRd5x6kJOf9E9HpMXJCznZ", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/Sagor0078/7a5e434b8ed3cb052984562233d804db/howmatrices_transform.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"#How Vector and Matrics Transform in Space\n" | |
], | |
"metadata": { | |
"id": "_PkcVJEdfLYv" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**The introduction of numbers as coordinates is an act of violence.\" - Hermann Weyl**\n", | |
"\n" | |
], | |
"metadata": { | |
"id": "OhrsLsMLgsSV" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"Linear algebra is a surprisingly useful subject, at the heart of computer graphics, cryptography, and machine learning. It is applied in data compression, game theory, and understanding networks. Engineering applications of linear algebra are everywhere: electric circuits, statics and dynamics, digital signal processing, optimization, robotics, multi-body dynamics… you name it!\n", | |
"\n", | |
"Let's get started! We will be using our favorite libraries of the Python ecosystem: NumPy and Matplotlib. We also have a few helper functions in the plot_helper.py script, which will make it easy to visualize the ideas in these lessons. Go ahead and load these by executing the next two cells.\n" | |
], | |
"metadata": { | |
"id": "BG4mbaLnfo3c" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy\n", | |
"%matplotlib inline\n", | |
"from matplotlib import pyplot\n", | |
"#\n", | |
"from urllib.request import urlretrieve\n", | |
"URL = 'https://go.gwu.edu/engcomp4plot'\n", | |
"urlretrieve(URL, 'plot_helper.py')\n", | |
"\n", | |
"import sys\n", | |
"sys.path.append('../scripts/')\n", | |
"\n", | |
"# Our helper, with the functions: \n", | |
"# plot_vector, plot_linear_transformation, plot_linear_transformations\n", | |
"from plot_helper import *" | |
], | |
"metadata": { | |
"id": "kQiLwYBBfsaL" | |
}, | |
"execution_count": 7, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"#Vectors" | |
], | |
"metadata": { | |
"id": "AOqkeOZlgb84" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**What is vectors?**\n", | |
"\n", | |
"Vectors are everywhere: physics, engineering, mathematics, computer science, video games, and more. Each field's interpretation of what a vector is may be different, but vectors live a similar life in every space.\n", | |
"\n", | |
"\n", | |
"The first episode in the wonderful video series, **\"Essence of Linear Algebra, by Grant Sanderson**\" [link text] \n", | |
"(https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&pp=iAQB\n", | |
")tells you of three different ideas about vectors\n", | |
"\n", | |
"\n", | |
" For physicists, a vector is an \"arrow\" of a given length (magnitude) and direction. It can represent directional quantities like velocity, force, acceleration.\n", | |
" For computer scientists, a vector is an ordered list of numbers. It can represent a set of variables or features stored in order.\n", | |
" For mathematicians, vectors are generic objects that behave a certain way when they are added or scaled: u+v,αv.\n", | |
"\n", | |
"\n", | |
"\n", | |
"In physics, vectors are almost always two- or three-dimensional (although in some fancy branches of physics they do go to higher dimensions). Vectors help physicists describe things like motion and electro-magnetic fields on a plane or in physical 3D space.\n", | |
"\n", | |
"In computer science and in data science, vectors are often multi-dimensional, that is, they have many components. They contain a set of ordered variables in a data model, like for example: the age, weight, daily hours of sleep, weekly hours of exercise, and blood pressure of an individual (five dimensions).\n", | |
"\n", | |
"\n" | |
], | |
"metadata": { | |
"id": "Ubgjd_41hZaC" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"\n", | |
"**Visualizing vectors**\n", | |
"\n", | |
"Let's start with the idea of a vector as an \"arrow\" (magnitude plus direction). We visualize a vector by placing this arrow with its tail at the origin of a coordinate system. But changing the position of the tail doesn't change the vector's magnitude or direction, so the vector is the same no matter where we draw it.\n", | |
"\n", | |
"In the code cell below, we define a list with a single vector of coordinates (2,2)\n", | |
", and we use our custom function plot_vector() to plot the vector with its tail at four different positions on a 2D coordinate system.\n" | |
], | |
"metadata": { | |
"id": "lOPRi-mMmFv8" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"vectors = [(2,2)]\n", | |
"tails = [(-3,-2), (-3,1), (0,0), (1,-3)]\n", | |
"plot_vector(vectors, tails)\n", | |
"pyplot.title(\"The same vector, with its tail at four locations.\");\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 401 | |
}, | |
"id": "AU1zQ2MfhYNp", | |
"outputId": "bfe0e30d-487b-4c21-bde3-8e39fb16e06b" | |
}, | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"In the 2D plane, we can see clearly the connection between the \"arrow\" idea of vector, and the \"list of numbers,\" which in this case represents the coordinates of the arrow head when the tail is at the origin of the coordinate system.\n", | |
"\n", | |
"The first coordinate designates the horizontal distance between head and tail, and the second coordinate designates the vertical distance between head and tail. We typically will denote horizontal and vertical axes as x\n", | |
"and y\n", | |
"\n", | |
".\n", | |
"\n", | |
"In three dimensions, x\n", | |
"and y are usually denoting the perpendicular axes on the horizontal plane, and the vertical axis is denoted by z. A 3D vector thus has three components: (x,y,z)." | |
], | |
"metadata": { | |
"id": "Hz9-_efYmyL9" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"#Fundamental vector operations" | |
], | |
"metadata": { | |
"id": "NUBCm1SVnVbz" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"Two operations are the foundation of everything: **vector addition, and multiplication by a scalar (i.e., scaling).**\n", | |
"\n", | |
"Let's first visualize vector addition. Suppose we have two vectors:\n", | |
"a=[−2,1],b=[1,−3]\n", | |
"\n", | |
"We can visualize vector addition as follows: draw vector a\n", | |
"with its tail at the origin; then draw vector b with its tail on the head of a. If you now draw a vector from the origin to the head of b, that vector is a+b\n", | |
"\n", | |
".\n", | |
"\n", | |
"With our helper function for plotting 2D vectors, it looks like this:\n" | |
], | |
"metadata": { | |
"id": "r-dVLmxBniYX" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
" #vector addition\n", | |
"a = numpy.array((-2,1))\n", | |
"b = numpy.array((1,-3))\n", | |
"origin = numpy.array((0,0))\n", | |
"\n", | |
"vectors = [a, b, a+b]\n", | |
"tails = [origin, a, origin]\n", | |
"plot_vector(vectors, tails)\n", | |
"pyplot.title(\"Adding vectors with coordinates $(-2, 1)$ and $(1,-3)$.\\n\");" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 421 | |
}, | |
"id": "A1nM9ug5mjbN", | |
"outputId": "e1ee811e-e6f8-48a6-d872-c3ecb28c9b66" | |
}, | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# vector scaling\n", | |
"c = numpy.array((2,1))\n", | |
"vectors = [c, 2*c]\n", | |
"plot_vector(vectors)\n", | |
"pyplot.title(\"Scaling of the vector $(2,1)$ by the scalar $2$.\");" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 394 | |
}, | |
"id": "X_PXhGAhoLYo", | |
"outputId": "f9ddb6ab-6485-416c-d359-434930fdc23d" | |
}, | |
"execution_count": 10, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Basis vectors**\n", | |
"\n", | |
"With the ideas of vector addition and multiplication by a scalar fresh in your mind, now imagine this. Any horizontal vector (i.e., having zero as its second component) can be scaled to have length 1\n", | |
"\n", | |
"For example, the vector u=[u,0]\n", | |
"scaled by 1/u becomes [1,0]\n", | |
"\n", | |
"\n", | |
"Similarly, any vertical vector (having zero as its first component) can be scaled to have length 1\n", | |
"\n", | |
"Going the opposite way,\n", | |
"\n", | |
" scaling the vector **i=[1,0]**\n", | |
"\n", | |
"can give us all possible horizontal vectors, and\n", | |
"scaling the vector j=[0,1]\n", | |
"\n", | |
" can give us all possible vertical vectors.\n", | |
"\n", | |
"Since every vector is the sum of a horizontal and a vertical one, it means we can generate all vectors by adding scaled versions of **i**\n", | |
"and **j**. That's why they are called **basis vetors**.\n" | |
], | |
"metadata": { | |
"id": "PKgr5xkBpkMY" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"For any vector, its components are the scalars we need to multiply the basis vectors by to generate it. For example:\n", | |
"[3,2]=3⋅[1,0]+2⋅[0,1]=**3i+2j**\n", | |
"\n", | |
"Let's visualize this using our helper function." | |
], | |
"metadata": { | |
"id": "OiEVbPearPg3" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# basis vector\n", | |
"i = numpy.array((1,0))\n", | |
"j = numpy.array((0,1))\n", | |
"\n", | |
"vec = 3*i + 2*j\n", | |
"vectors = [i, j, 3*i, 2*j, vec]\n", | |
"plot_vector(vectors)\n", | |
"pyplot.title(\"The vector $(3,2)$ as a linear combination of the basis vectors.\");" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 403 | |
}, | |
"id": "md88CJ1aoXt0", | |
"outputId": "c875d449-e6dd-4e33-99cc-a5b15056a84c" | |
}, | |
"execution_count": 11, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Linear combination and span** " | |
], | |
"metadata": { | |
"id": "SgtovxditAcV" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"Adding two vectors that were each multiplied by a scalar is called a linear combination of those two vectors. Thus, we say that every vector is some linear combination of the basis vectors.\n", | |
"\n", | |
"This brings us to the idea of the span of two vectors: the set of all possible linear combinations of the two. The second episode of the series **\"Essence of Linear Algebra\"** uses rich visuals to bring these ideas to life [2]. Recommended!\n", | |
"\n", | |
"In the code cells below, we will use the NumPy function randint to get random integers in an interval (in this case, from 10 to 10). We then create a list of 30 random vectors on the plane via a linear combination of the basis vectors **i** and **j** , and we draw them all.\n" | |
], | |
"metadata": { | |
"id": "-vDtFjaMtiSe" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from numpy.random import randint\n", | |
"# span\n", | |
"vectors = []\n", | |
"i = numpy.array((1,0))\n", | |
"j = numpy.array((0,1))\n", | |
"\n", | |
"for _ in range(30):\n", | |
" m = randint(-10,10)\n", | |
" n = randint(-10,10)\n", | |
" vectors.append(m*i + n*j)\n", | |
" \n", | |
"plot_vector(vectors)\n", | |
"pyplot.title(\"Thirty random vectors, created from the basis vectors\");\n", | |
"\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 392 | |
}, | |
"id": "p-b140xisEGR", | |
"outputId": "a96882b4-4ebe-46b7-acf2-9ca410f72942" | |
}, | |
"execution_count": 13, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 400x400 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Matrices**" | |
], | |
"metadata": { | |
"id": "p_hxeTdByMof" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"What's a matrix?\n", | |
"\n", | |
"In many books, they'll tell you that a matrix is a \"table\" of numbers, ordered in rows and columns. Maybe that's enough for some people, but you will get a kick out of seeing what a matrix does!\n", | |
"\n", | |
"Let's remember our friendly vectors from above:\n", | |
"a = $\\begin{bmatrix} \n", | |
"-2 & 1\n", | |
"\\end{bmatrix}$\n", | |
"b = $\\begin{bmatrix} 1 & 3\\end{bmatrix}$\n", | |
"\n", | |
"Our little experiment with 30 random linear combinations of and helped us visualize that they can span the 2D space, and nothing is stopping us from using them as a basis if we so desire.\n" | |
], | |
"metadata": { | |
"id": "RJq3zseayX1y" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Matrices with NumPy**" | |
], | |
"metadata": { | |
"id": "bIO5P9ml-Jgi" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"\n", | |
"Let's play around with this a bit more.\n", | |
"\n", | |
"We can define a NumPy array to represent the matrix\n", | |
",A as follows:" | |
], | |
"metadata": { | |
"id": "cx22lNCF-WjM" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"A = [[-2,1], [1,-3]]\n", | |
"A = numpy.array(A)\n", | |
"print(A)\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "CEj7J5QVu0-k", | |
"outputId": "2a0fb630-d825-4734-de24-301ab378d5f2" | |
}, | |
"execution_count": 14, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"[[-2 1]\n", | |
" [ 1 -3]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"A.dot(c)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "1uuhl_04-hLV", | |
"outputId": "ec0fe92d-2f66-42e1-c09e-b622c8a49d46" | |
}, | |
"execution_count": 15, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"array([-3, -1])" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 15 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"A.dot(i)\n", | |
"#A.dot(j)\n", | |
"\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "RAHF0Ppq-lPe", | |
"outputId": "5b462ef7-4c37-4b05-8df6-d327dd8ff232" | |
}, | |
"execution_count": 18, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"array([-2, 1])" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 18 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"A.dot(j)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "DjkLW42j-vQb", | |
"outputId": "06044282-a64c-419e-be19-9e461894150a" | |
}, | |
"execution_count": 19, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"array([ 1, -3])" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 19 | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
" The matrix A when multiplied by the vector **i** gives the vector and when multiplied by the vector **j** gives the vector **b**.\n", | |
"\n", | |
"Remember that we used the components of **c**\n", | |
"in a linear combination of **a** and **b** to get **c'**: 2**a**+1**b**. What we find is that the linear transformation represented by the matrix , transforms the vector to the linear combination of the transformed **i** and **j**.\n", | |
"\n", | |
"Since all vectors are a linear combination of the basis vectors,**i** and **j** , scaled by the vector components, they are all transformed to a linear combination of **a** and **b** with the same scalars.\n", | |
"\n", | |
"Let's try to visualize that. Our helpful custom function **plot_linear_transformation()** draws a grid of points on the plane, then applies the linear transformation described by the matrix argument, and plots the transformed grid. This is what **A** does to the grid:" | |
], | |
"metadata": { | |
"id": "Q7cw3WId_B-A" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plot_linear_transformation(A)\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 401 | |
}, | |
"id": "ThiduAvP-2F1", | |
"outputId": "21e4bd12-7bdc-4846-e542-d51a1e6266fb" | |
}, | |
"execution_count": 20, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x400 with 2 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Some special transformations**" | |
], | |
"metadata": { | |
"id": "Wjjq2lrcFEm7" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"Rotation,Shear,Scaling here : [link text](https://people.math.harvard.edu/~knill/teaching/math19b_2011/handouts/lecture08.pdf)" | |
], | |
"metadata": { | |
"id": "tQylgurBF3wC" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"rotation = numpy.array([[0,-1], [1,0]])\n", | |
"print(rotation)\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "o0_Y74fbEubd", | |
"outputId": "44f2527a-960a-4152-c37c-8899c2cdc833" | |
}, | |
"execution_count": 22, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"[[ 0 -1]\n", | |
" [ 1 0]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"shear = numpy.array([[1,1], [0,1]])\n", | |
"print(shear)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "UUPMMWSrGJoR", | |
"outputId": "c934cf0e-65e0-4a1b-83fd-fda73f27a416" | |
}, | |
"execution_count": 23, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"[[1 1]\n", | |
" [0 1]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plot_linear_transformation(rotation)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 401 | |
}, | |
"id": "S4qgCWStGO5G", | |
"outputId": "fa5d96fa-bde4-4651-ecff-27f23e9ba3dc" | |
}, | |
"execution_count": 24, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x400 with 2 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plot_linear_transformation(shear)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 401 | |
}, | |
"id": "Rbo9e55gGRd9", | |
"outputId": "06636fbf-ee7f-4519-ab36-78f8cecc91ec" | |
}, | |
"execution_count": 25, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x400 with 2 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"scale = numpy.array([[2,0], [0,0.5]])\n", | |
"print(scale)\n", | |
"plot_linear_transformation(scale)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 436 | |
}, | |
"id": "4Rmu1D2kGUMB", | |
"outputId": "8793a528-56a6-463a-94d7-9df7c850f466" | |
}, | |
"execution_count": 26, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"[[2. 0. ]\n", | |
" [0. 0.5]]\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x400 with 2 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Inverse of a matrix**" | |
], | |
"metadata": { | |
"id": "zhoqzywtIFs4" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"Thinking of matrices as linear transformations also helps demistify the idea of an inverse. \n", | |
"\n", | |
"NumPy has great built-in Linear Algebra capabilities in the numpy.linalg module. Among its many functions, we get inv(), to compute the inverse of a matrix. So we can try right away to visualize a sequence of transformations: first with the matrix M, then the inverse of M. Check it out." | |
], | |
"metadata": { | |
"id": "jBJ6s7SXININ" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from numpy.linalg import inv\n", | |
"M = numpy.array([[1,2], [2,1]])\n", | |
"M_inv = inv(M)\n", | |
"plot_linear_transformations(M, M_inv)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 709 | |
}, | |
"id": "Zk41DGMDGXqo", | |
"outputId": "bd885299-40f2-4f40-9ed0-4f2af91ea904" | |
}, | |
"execution_count": 27, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x800 with 4 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**\"The Matrix is everywhere, it is all around us, even now in this very room.\" (Morpheus)**" | |
], | |
"metadata": { | |
"id": "8h__TZLzI0QF" | |
} | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**A matrix is a linear transformation**\n", | |
"\n", | |
"In the first lesson of this module, we saw that a matrix corresponds to a linear transformation. For example, the matrix \n", | |
"A = $\\begin{bmatrix}\n", | |
"1 & 1 \\\\\n", | |
"-1 & 1 \\\\\n", | |
"\\end{bmatrix}$\n", | |
"\n", | |
"Let's use our helper function plot_linear_transformation() to visualize what this matrix does to the unit vectors and a grid on the 2D plane:" | |
], | |
"metadata": { | |
"id": "sWJZP7eTJOKw" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"A = numpy.array([[1,1], [-1,1]])\n", | |
"plot_linear_transformation(A)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 401 | |
}, | |
"id": "adOaDWERIk9f", | |
"outputId": "abe17c2d-a6f2-4a62-c9c3-cbb422f9aac5" | |
}, | |
"execution_count": 28, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 800x400 with 2 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## **Applications in Image Processing**\n", | |
"\n", | |
"So where can we use this concept of matrix vector multiplication other than in thinking about abstract spaces ? One very important application of this concept can be see in image processing applications. We can consider an image to be a collection of vectors. Let’s consider grayscale images for simplicity, then a grayscale image basically is just a collection of vectors in 2-D space (location of grayscale pixels can be considered a 2-D vector). And we can multiply each pixel vector with a given matrix to transform the entire image!\n", | |
"\n", | |
"Let’s import necessary libraries for image manipulation and downloading sample images from the web." | |
], | |
"metadata": { | |
"id": "-zXaIES5LBWV" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from PIL import Image \n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"\n", | |
"import requests\n", | |
"\n", | |
"url = 'https://images.pexels.com/photos/2850833/pexels-photo-2850833.jpeg?auto=compress&cs=tinysrgb&dpr=2&h=650&w=940'" | |
], | |
"metadata": { | |
"id": "aJWgWLvNK3vE" | |
}, | |
"execution_count": 42, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"im = Image.open(requests.get(url, stream=True).raw)\n", | |
"plt.imshow(im)\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 851 | |
}, | |
"id": "oEMBrraZLubm", | |
"outputId": "3fbbc68f-006b-4aed-deb1-ffa107502fcf" | |
}, | |
"execution_count": 43, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.image.AxesImage at 0x7ff76b5637f0>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 43 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1280x960 with 1 Axes>" | |
], | |
"image/png": 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