76 lines
1.9 KiB
C++
76 lines
1.9 KiB
C++
#include<conio.h>
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#include<iostream>
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#include<math.h>
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using namespace std;
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double d = 0;
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double det(int n, double mat[10][10]);
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double det(int n, double mat[10][10])
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{
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double submat[10][10];
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if (n == 2)
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return ((mat[0][0] * mat[1][1]) - (mat[1][0] * mat[0][1]));
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else
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{
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for (int c = 0; c < n; c++)
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{
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int subi = 0; //submatrix's i value
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for (int i = 1; i < n; i++)
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{
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int subj = 0;
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for (int j = 0; j < n; j++)
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{
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if (j == c)
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continue;
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submat[subi][subj] = mat[i][j];
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subj++;
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}
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subi++;
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}
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d = d + (pow(-1, c) * mat[0][c] * det(n - 1, submat));
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}
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}
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return d;
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}
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int main(int argc, char **argv)
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{
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cout << "Enter the dimension of the matrix:\n";
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int n;
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cin >> n;
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double mat[10][10];
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cout << "Enter the elements of the matrix:\n";
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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cin >> mat[j][i];
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}
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}
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if (det(n, mat) != 0)
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{
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cout << "The given matrix is invertible";
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}
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else
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{
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cout << "The given matrix is not invertible";
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}
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}
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/*
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Enter the dimension of the matrix:
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3
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Enter the elements of the matrix:
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1 2 3
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4 5 6
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7 8 9
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The given matrix is not invertible
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Enter the dimension of the matrix:
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5
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Enter the elements of the matrix:
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1 2 3 4 5
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6 7 8 9 0
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0 9 8 7 6
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5 4 3 2 1
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1 3 5 7 9
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The given matrix is invertible
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