By | 18.11.2016

# Check whether a matrix is Identity matrix

Write a C program to check whether a Matrix is Identity Matrix or not. Here’s simple Program to check whether a matrix is unit matrix or not in C Programming Language.

## What is Matrix ?

Matrix representation is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

Two-dimensional Arrays : :

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

• type arrayName [ x ][ y ];

Where type can be any valid C data type and arrayName will be a valid C identifier.

Below is the source code for C program to check whether a Matrix is Identity Matrix or not which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/*  C program to check whether a Matrix is Identity Matrix or not  */

#include <stdio.h>

int main()
{
int A[10][10],B[10][10],i,j,m,n;
int row, col, isIdentity;

printf("Enter no. of rows :: ");
scanf("%d", &m);
printf("\nEnter no. of cols :: ");
scanf("%d",&n);
printf("\nEnter values to the matrix :: \n");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
printf("\nEnter a[%d][%d] value :: ",i,j);
scanf("%d", &A[i][j]);
}
}

/*
* Checks whether it is Identity matrix or not
*/
isIdentity = 1;
for(row=0; row<m; row++)
{
for(col=0; col<n; col++)
{

if(row==col && A[row][col]!=1)
{
/* If elements of main diagonal is not equal to 1 */
isIdentity = 0;
}
else if(row!=col && A[row][col]!=0)
{
/* If other elements than main diagonal is not equal to 0 */
isIdentity = 0;
}
}
}

/*
* If it is an Identity matrix
*/
if(isIdentity==1)
{
printf("\nThe given matrix is an Identity Matrix.\n");

/*
* Prints the Identity matrix
*/
for (i = 0; i < m; ++i)
{
for (j = 0; j < n; ++j)
{
printf("\t%d", A[i][j]);
}
printf("\n\n");
}
}
else
{
printf("The given matrix is not Identity Matrix");
}

return 0;
}```

### Output : :

```/*  C program to check whether a Matrix is Identity Matrix or not  */

Enter no. of rows :: 3

Enter no. of cols :: 3

Enter values to the matrix ::

Enter a[0][0] value :: 1

Enter a[0][1] value :: 0

Enter a[0][2] value :: 0

Enter a[1][0] value :: 0

Enter a[1][1] value :: 1

Enter a[1][2] value :: 0

Enter a[2][0] value :: 0

Enter a[2][1] value :: 0

Enter a[2][2] value :: 1

The given matrix is an Identity Matrix.
1       0       0

0       1       0

0       0       1

Process returned 0```

Above is the source code for C program to check whether a Matrix is Identity Matrix or not which is successfully compiled and run on Windows System.The Output of the program is shown above .

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