By | 18.11.2016

# Find determinant of matrix

Write a C program to find determinant of matrix. Here’s simple program to find determinant of matrix in C Programming Language.

## What is Matrix ?

Matrix representation is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

Two-dimensional Arrays : :

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

• type arrayName [ x ][ y ];

Where type can be any valid C data type and arrayName will be a valid C identifier.

Below is the source code for C program to find determinant of matrix which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/*  C program to find determinant of matrix  */

#include <stdio.h>

int main()
{
int A;
int row, col;
long det;

/*
* Reads elements in matrix A from user
*/
printf("\nEnter values to the matrix 2x2 :: \n");
for(row = 0; row<2; row++)
{
for(col = 0; col<2; col++)
{
printf("\nEnter a[%d][%d] value :: ",row,col);
scanf("%d", &A[row][col]);
}
}

/*
* det(A) = ad - bc
* a = A, b = A, c = A, d = A
*/
det = (A * A) - (A * A);

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

return 0;
}```

### Output : :

```/*  C program to find determinant of matrix  */

Enter values to the matrix 2x2 ::

Enter a value :: 3

Enter a value :: 4

Enter a value :: 5

Enter a value :: 6

Determinant of matrix A = -2

Process returned 0```

Above is the source code for C program to find determinant of matrix which is successfully compiled and run on Windows System.The Output of the program is shown above .

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