Write a C program to read elements in a matrix and check whether matrix is Sparse matrix or not. C program for determining sparse matrix. How to check sparse matrix in C. Logic to check sparse matrix in C programming.

**Example**

**Input**

Input elements in matrix: 1 0 3 0 0 4 6 0 0

**Output**

The given matrix is Sparse matrix

## Required knowledge

Basic C programming, Fop loop, Array

### What is Sparse matrix?

Sparse matrix is a special matrix with most of its elements are zero. We can also assume that if (m * n) / 2 elements are zero then it is a sparse matrix.

## Logic to check sparse matrix

To check whether a matrix is sparse matrix we only need to check the total number of elements that are equal to zero. The matrix is sparse matrix if **T** ≥ ((m * n) / 2 ); where **T** defines total number of zero elements.

## Program to check sparse matrix

```
/**
* C program to check sparse matrix
*/
#include <stdio.h>
#define SIZE 3
int main()
{
int A[SIZE][SIZE];
int row, col, total=0;
/* Input elements in matrix from user */
printf("Enter elements in matrix of size 3x3: \n");
for(row=0; row<SIZE; row++)
{
for(col=0; col<SIZE; col++)
{
scanf("%d", &A[row][col]);
}
}
/* Count total number of zero elements in the matrix */
for(row=0; row<SIZE; row++)
{
for(col=0; col<SIZE; col++)
{
/* If the current element is zero */
if(A[row][col] == 0)
{
total++;
}
}
}
if(total >= (row * col)/2)
{
printf("\nThe given matrix is a Sparse matrix.");
}
else
{
printf("\nThe given matrix is not Sparse matrix.");
}
return 0;
}
```

Output

Enter elements in matrix of size 3x3: 1 0 0 4 5 0 0 0 0 The given matrix is a Sparse matrix.

Happy coding 😉

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