﻿ C Program: Calculate the determinant of a 3 x 3 matrix - w3resource

# C Exercises: Calculate the determinant of a 3 x 3 matrix

## C Array: Exercise-28 with Solution

Write a program in C to calculate the determinant of a 3 x 3 matrix.

Visual Presentation:

Sample Solution:

C Code:

``````#include <stdio.h>

int main() {
int arr1[10][10], i, j, n;
int det = 0;

// Display the purpose of the program
printf("\n\nCalculate the determinant of a 3 x 3 matrix :\n");
printf("-------------------------------------------------\n");

// Input elements into the matrix
printf("Input elements in the matrix :\n");
for (i = 0; i < 3; i++) {
for (j = 0; j < 3; j++) {
printf("element - [%d],[%d] : ", i, j);
scanf("%d", &arr1[i][j]);
}
}

// Display the matrix
printf("The matrix is :\n");
for (i = 0; i < 3; i++) {
for (j = 0; j < 3; j++) {
printf("% 4d", arr1[i][j]);
}
printf("\n");
}

// Calculate the determinant of the 3x3 matrix
for (i = 0; i < 3; i++) {
det = det + (arr1[0][i] * (arr1[1][(i + 1) % 3] * arr1[2][(i + 2) % 3] - arr1[1][(i + 2) % 3] * arr1[2][(i + 1) % 3]));
}

// Display the determinant of the matrix
printf("\nThe Determinant of the matrix is: %d\n\n", det);

return 0;
}
```
```

Sample Output:

```Calculate the determinant of a 3 x 3 matrix :
-------------------------------------------------
Input elements in the first matrix :
element - [0],[0] : 1
element - [0],[1] : 0
element - [0],[2] : -1
element - [1],[0] : 0
element - [1],[1] : 0
element - [1],[2] : 1
element - [2],[0] : -1
element - [2],[1] : -1
element - [2],[2] : 0
The matrix is :
1   0  -1
0   0   1
-1  -1   0

The Determinant of the matrix is: 1
```

Flowchart:

C Programming Code Editor:

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