/** * * The determinant of a square matrix can be computed using its element values. The determinant of a matrix A can be denoted as det(A) and it can be called the scaling factor of the linear transformation described by the matrix in geometry. An example of the determinant of a matrix is as follows. The matrix is: 3 1 2 7 The determinant of the above matrix = 7*3 - 2*1 = 21 - 2 = 19 So, the determinant is 19. The program to compute the determinant of a matrix is as follows. ➡️Example⤵️ * * **/ #include #include using namespace std; int determinant( int matrix[10][10], int n) { int det = 0; int submatrix[10][10]; if (n == 2) return ((matrix[0][0] * matrix[1][1]) - (matrix[1][0] * matrix[0][1])); else { for (int x = 0; x < n; x++) { int subi = 0; for (int i = 1; i < n; i++) { int subj = 0; for (int j = 0; j < n; j++) { if (j == x) continue; submatrix[subi][subj] = matrix[i][j]; subj++; } subi++; } det = det + (pow(-1, x) * matrix[0][x] * determinant( submatrix, n - 1 )); } } return det; } int main() { int n=3, i, j; int matrix[10][10]; //cout << "Enter the size of the matrix:\n"; //cin >> n; cout << "Enter the elements of the matrix:\n"; for (i = 0; i < n; i++) for (j = 0; j < n; j++) cin >> matrix[i][j]; cout<<"The entered matrix is:"<> n; cout <<"Enter the elements of the matrix:\n"; for (i = 0; i < n; i++) for (j = 0; j < n; j++) cin >> matrix[i][j]; cout<<"The entered matrix is:"<

[TUTORIAL] ➡️ |Determinant-of-a-square-matrix