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Determinant of a Matrix Laplace Method
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import javax.naming.OperationNotSupportedException; | |
import java.lang.Exception; | |
import java.lang.Math; | |
import java.lang.String; | |
import java.lang.System; | |
import java.util.Scanner; | |
class Matrix | |
{ | |
private int mat[][]; | |
private int n,m; | |
Matrix (int a[][]) | |
{ | |
this.mat = (int[][])a.clone(); | |
this.n = a.length; | |
this.m = a[0].length; | |
} | |
public void print_mat () | |
{ | |
print_mat(mat); | |
} | |
private void print_mat (int a[][]) | |
{ | |
for (int i = 0; i < a.length; ++i) | |
{ | |
for (int j = 0; j < a[0].length; ++j) | |
System.out.print(a[i][j] + " "); | |
System.out.print("\n"); | |
} | |
} | |
public int determinant () | |
{ | |
if (n == m) | |
return determinant(mat,n); | |
else return 0; | |
} | |
private int[][] cofactor (int a[][], int n, int p, int q) | |
{ | |
int cofac[][] = new int [n-1][n-1]; | |
int x = 0, y = 0; | |
for (int i = 0; i < n; ++i) | |
{ | |
for (int j = 0; j < n; ++j) | |
if (i != p && j != q) | |
{ | |
cofac[x][y] = a[i][j]; | |
y++; | |
} | |
if (y > n-2) { ++x; y = 0; } | |
} | |
return cofac; | |
} | |
private int determinant (int a[][], int n) | |
{ | |
if (n == 1) return a[0][0]; | |
else | |
{ | |
int res = 0; | |
for (int i = 0; i < n; ++i) | |
res += ((int)Math.pow(-1, i+0)) * a[i][0] * determinant(cofactor(a, n, i, 0), n-1); | |
return res; | |
} | |
} | |
} | |
class RunApp | |
{ | |
public static void main (String arg[]) | |
{ | |
Scanner readIn = new Scanner(System.in); | |
int n = readIn.nextInt(); | |
int a[][] = new int[n][n]; | |
for (int i = 0; i < n; ++i) | |
for (int j = 0; j < n; ++j) | |
a[i][j] = readIn.nextInt(); | |
Matrix x = new Matrix(a); | |
//x.print_mat(); | |
System.out.println(x.determinant()); | |
} | |
} |
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//Input
3
4 5 6
8 5 6
4 5 1
//Output
100