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C > Arrays and Matrices Code Examples

Program to calculate determinant of 3x3 matrix

Program to calculate determinant of 3x3 matrix

Write a C program to read elements in a matrix and find determinant of the given matrix. C program to find determinant of a 2x2 matrix and 3x3 matrix. Logic to find determinant of a matrix in C programming.

#include <stdio.h>
#define SIZE 3 // Matrix size

int main()
{
    int A[SIZE][SIZE];
    int row, col;
    int a, b, c, d, e, f, g, h, i;
    long det;

    /* Input elements in matrix A from user */
    printf("Enter elements in matrix of size 3x3: \n");
    for(row=0; row<SIZE; row++)
    {
        for(col=0; col<SIZE; col++)
        {
            scanf("%d", &A[row][col]);
        }
    }

    /*
     * Used as a temporary variables to make calculation easy
     * |         |
     * | a  b  c |
     * | d  e  f |
     * | g  h  i |
     * |         |
     */
    a = A[0][0];
    b = A[0][1];
    c = A[0][2];
    d = A[1][0];
    e = A[1][1];
    f = A[1][2];
    g = A[2][0];
    h = A[2][1];
    i = A[2][2];

    /* det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)     */
    det = (a*(e*i - f*h)) - (b*(d*i - f*g)) + (c*(d*h - e*g));

    printf("Determinant of matrix A = %ld", det);

    return 0;
}

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