# C Program to Check Matrix is a Sparse Matrix

In this tutorial, i am going to show you how to check matrix is a sparse matrix in c programs.

## Algorithm to Check Matrix is a Sparse Matrix

Follow the below given algorithm to write a program to check whether a matrix is sparse or not; as follows:

1. Start Program.
2. Declare and initialize a matrix of m*n. (where m and n are the lengths of row and column of matrix)
3. Take input Rows and Columns Number From User.
4. Take input matrix elements from user using for loop.
5. Declare a variable to count the number zeros in the matrix. (Consider “count”).
6. Travers the matrix from start to end and whenever zero encounter increment count by 1.
7. if the count is greater than m*n/2 then the matrix is sparse, else it is not.
8. Print Result.
9. End Program.

## C Program to Check Matrix is a Sparse Matrix

```/* C Program to check Matrix is a Sparse Matrix or Not */

#include<stdio.h>

int main()
{
int i, j, rows, columns, a, Total = 0;

printf("\n Please Enter Number of rows and columns  :  ");
scanf("%d %d", &i, &j);

printf("\n Please Enter the Matrix Elements \n");
for(rows = 0; rows < i; rows++)
{
for(columns = 0;columns < j;columns++)
{
scanf("%d", &a[rows][columns]);
}
}

for(rows = 0; rows < i; rows++)
{
for(columns = 0; columns < j; columns++)
{
if(a[rows][columns] == 0)
{
Total++;
}
}
}
if(Total > (rows * columns)/2)
{
printf("\n The Matrix that you entered is a Sparse Matrix ");
}
else
{
printf("\n The Matrix that you entered is Not a Sparse Matrix ");
}

return 0;
}```

The result of the above c program; as follows:

```Please Enter Number of rows and columns  :  3 3