C Exercises: Check whether a given matrix is an identity matrix
31. Identity Matrix Check
Write a program in C to check whether a given matrix is an identity matrix.
The task is to write a C program that accepts two matrices and checks if they are equal. The program prompts the user to input the dimensions and elements of both matrices, then compares corresponding elements. If all elements are identical, the program will confirm that the matrices are equal.
Visual Presentation:
Sample Solution:
C Code:
#include <stdio.h>
// In a square matrix, if all the main diagonal elements are 1's and
// all the remaining elements are 0's, it is called an Identity Matrix.
int main() {
int arr1[10][10];
int r1, c1;
int i, j, yn = 1;
// Display the purpose of the program
printf("\n\n Check whether a given matrix is an identity matrix :\n");
printf("-----------------------------------------------------------\n");
// Input the number of Rows for the matrix
printf("Input number of Rows for the matrix :");
scanf("%d", &r1);
// Input the number of Columns for the matrix
printf("Input number of Columns for the matrix :");
scanf("%d", &c1);
// Input elements into the matrix
printf("Input elements in the matrix :\n");
for(i = 0; i < r1; i++) {
for(j = 0; j < c1; j++) {
printf("element - [%d],[%d] : ", i, j);
scanf("%d", &arr1[i][j]);
}
}
// Display the matrix
printf("The matrix is :\n");
for(i = 0; i < r1; i++) {
for(j = 0; j < c1 ;j++) {
printf("% 4d", arr1[i][j]);
}
printf("\n");
}
// Check whether the matrix is an identity matrix or not
for(i = 0; i < r1; i++) {
for(j = 0; j < c1; j++) {
if ((i == j && arr1[i][j] != 1) || (i != j && arr1[i][j] != 0)) {
yn = 0;
break;
}
}
if (yn == 0) {
break;
}
}
// Display the result
if(yn == 1) {
printf(" The matrix is an identity matrix.\n\n");
} else {
printf(" The matrix is not an identity matrix.\n\n");
}
return 0;
}
Sample Output:
Check whether a given matrix is an identity matrix : ----------------------------------------------------------- Input number of Rows for the matrix :3 Input number of Columns for the matrix :3 Input elements in the first matrix : element - [0],[0] : 1 element - [0],[1] : 0 element - [0],[2] : 0 element - [1],[0] : 0 element - [1],[1] : 1 element - [1],[2] : 0 element - [2],[0] : 0 element - [2],[1] : 0 element - [2],[2] : 1 The matrix is : 1 0 0 0 1 0 0 0 1 The matrix is an identity matrix.
Check whether a given matrix is an identity matrix : ----------------------------------------------------------- Input number of Rows for the matrix :3 Input number of Columns for the matrix :3 Input elements in the matrix : element - [0],[0] : 0 element - [0],[1] : 0 element - [0],[2] : 1 element - [1],[0] : 0 element - [1],[1] : 1 element - [1],[2] : 0 element - [2],[0] : 1 element - [2],[1] : 0 element - [2],[2] : 0 The matrix is : 0 0 1 0 1 0 1 0 0 The matrix is not an identity matrix.
Flowchart :
For more Practice: Solve these Related Problems:
- Write a C program to check if a given matrix is an identity matrix using nested loops.
- Write a C program to verify identity matrix properties by summing rows and columns.
- Write a C program to determine if a matrix is identity using pointer arithmetic.
- Write a C program to input a matrix and check for identity while also counting the number of ones on the diagonal.
C Programming Code Editor:
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