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

Last update on December 20 2024 12:59:23 (UTC/GMT +8 hours)

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

The task is to write a C program that calculates the determinant of a 3x3 matrix. The program prompts the user to input the elements of the matrix, displays the original matrix, computes its determinant using the formula for 3x3 matrices, and then prints the calculated determinant as the output.

Visual Presentation:

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

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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