Sunday 15 December 2013

C Program to Check if a given Matrix is an Identity Matrix

#include < stdio.h>

void main()
{
int a[10][10];
int i, j, row, column, flag = 1;

printf("Enter the order of the matrix A \n" );
scanf("%d %d" , &row, &column);
printf("Enter the elements of matrix A \n" );
for (i = 0; i < row; i++)
{
for (j = 0; j < column; j++)
{
scanf("%d" , &a[i][j]);
}
}
printf("MATRIX A is \n" );
for (i = 0; i < row; i++)
{
for (j = 0; j < column; j++)
{
printf("%3d" , a[i][j]);
}
printf("\n" );
}
/* Check for unit (or identity) matrix */
for (i = 0; i < row; i++)
{
for (j = 0; j < column; j++)
{
if (a[i][j] != 1 && a[j][i] != 0)
{
flag = 0;
break;
}
}
}
if (flag == 1 )
printf("It is identity matrix \n" );
else
printf("It is not a identity matrix \n" );
}

Output

 Enter the order of the matrix A
3 3
Enter the elements of matrix A
1 2 3
5 1 8
6 4 1
MATRIX A is
1 2 3
5 1 8
6 4 1
It is not a identity matrix


Enter the order of the matrix A
3 3
Enter the elements of matrix A
1 0 0
0 1 0
0 0 1
MATRIX A is
1 0 0
0 1 0
0 0 1
It is identity matrix

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