Here is the C program to check whether a matrix is symmetric matrix or not. This program checks whether a given matrix is symmetric matrix or not. Here is the algorithm to check symmetric matrix.
Required Knowledge
Algorithm to find symmetric matrix
Let inputMatrix is an integer matrix having N rows and M columns.
Let inputMatrix is an integer matrix having N rows and M columns.
- Find transpose matrix of inputMatrix and store it in transposeMatrix. Check this C program to find transpose of a matrix.
- Compare inputMatrix and transposeMatric. Check this C program to compare two matrix
- If both matrices are equal then inputMatrix is symmetric matrix otherwise not a symmetric matrix
C program to check a matrix is symmetric matrix or not
#include <stdio.h>
int main(){
int rows, cols, row, col, size, isSymmetric;
int inputMatrix[50][50], transposeMatrix[50][50];
printf("Enter the size of Square Matrix\n");
scanf("%d", &size);
rows = cols = size;
printf("Enter Matrix of size %dX%d\n", rows, cols);
for(row = 0; row < rows; row++){
for(col = 0; col < cols; col++){
scanf("%d", &inputMatrix[row][col]);
}
}
for(row = 0; row < rows; row++){
for(col = 0; col < cols; col++){
transposeMatrix[col][row] = inputMatrix[row][col];
}
}
isSymmetric = 1;
for(row = 0; row < cols; row++){
for(col = 0; col < rows; col++){
if(inputMatrix[row][col] != transposeMatrix[row][col]){
isSymmetric = 0;
}
}
}
if(isSymmetric == 1)
printf("Input Matrix is Symmetric Matrix\n");
else
printf("Input Matrix is Not a Symmetric Matrix\n");
return 0;
}
Output
Enter the size of Square Matrix 3 Enter Matrix of size 3X3 4 5 6 5 9 1 6 1 2 Input Matrix is Symmetric Matrix
Enter the size of Square Matrix 3 Enter Matrix of size 3X3 1 2 3 4 5 6 7 8 9 Input Matrix is Not a Symmetric Matrix
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