C Program to Check if a Matrix is Invertible

This C program checks if a matrix is invertible. The key idea is to first find out the determinant of the given matrix. If it is a non-zero quantity, then the given matrix is invertible, otherwise there is no inverse of that matrix.

Here is the source code of the C program to check for inverse of a matrix. The C program is successfully compiled and run on a Linux system. The program output is also shown below.

```
#include<stdio.h>
```
```
 int main(){
```
```
 
```
```
  int a[3][3], i, j;
```
```
 
```
```
  long determinant;
```

  printf("Enter the 9 elements of matrix: ");

```
  for(i = 0 ;i < 3;i++)
```
```
      for(j = 0;j < 3;j++)
```
```
           scanf("%d", &a[i][j]);
```
```
 
```
```
  printf("\nThe matrix is\n");
```
```
  for(i = 0;i < 3; i++){
```
```
      printf("\n");
```
```
      for(j = 0;j < 3; j++)
```
```
           printf("%d\t", a[i][j]);
```
```
  }
```

  determinant = a[0][0] * ((a[1][1]*a[2][2]) - (a[2][1]*a[1][2])) -a[0][1] * (a[1][0]

   * a[2][2] - a[2][0] * a[1][2]) + a[0][2] * (a[1][0] * a[2][1] - a[2][0] * a[1][1]);

```
   if ( determinant == 0)
```

       printf("\nMatrix is NOT invertible");

```
   else
```

       printf("\nThe given matrix has an inverse!!!");

```
   return 0;
```
```
}
```

$ gcc matrix_invertible.c -o matrix_invertible
$ ./matrix_invertible
Enter the 9 elements of matrix: 1 2 3 4 5 1 2 3 4
The matrix is
 
1	2	3	
4	5	1	
2	3	4	
 
The given matrix has an inverse!!!

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