# C Program for Finding Transpose of a Sparse Matrix

Here you will get C program to find transpose of a sparse matrix.
Transpose of a matrix is obtained by interchanging rows and columns. In another way, we can say that element in the i, j position gets put in the j, i position. Transpose  of the matrix B1 is obtained as B2 by inserting (i,j)th element of B1 as (j,i)th element in B2.
```#include<stdio.h>

#define MAX 20

void printsparse(int[][3]);
void transpose(int[][3],int[][3]);

int main()
{
int b1[MAX][3],b2[MAX][3],m,n;
printf("Enter the size of matrix (rows,columns):");

scanf("%d%d",&m,&n);
b1[0][0]=m;
b1[0][1]=n;

transpose(b1,b2);
printsparse(b2);
}

{
int i,t;
printf("\nEnter no. of non-zero elements:");
scanf("%d",&t);
b[0][2]=t;

for(i=1;i<=t;i++)
{
printf("\nEnter the next triple(row,column,value):");
scanf("%d%d%d",&b[i][0],&b[i][1],&b[i][2]);
}
}

void printsparse(int b[MAX][3])
{
int i,n;
n=b[0][2];	//no of 3-triples

printf("\nAfter Transpose:\n");

printf("\nrow\t\tcolumn\t\tvalue\n");
for(i=0;i<=n;i++)
printf("%d\t\t%d\t\t%d\n",b[i][0],b[i][1],b[i][2]);
}

void transpose(int b1[][3],int b2[][3])
{
int i,j,k,n;
b2[0][0]=b1[0][1];
b2[0][1]=b1[0][0];
b2[0][2]=b1[0][2];

k=1;
n=b1[0][2];

for(i=0;i<b1[0][1];i++)
for(j=1;j<=n;j++)
//if a column number of current triple==i then insert the current triple in b2
if(i==b1[j][1])
{
b2[k][0]=i;
b2[k][1]=b1[j][0];
b2[k][2]=b1[j][2];
k++;
}
}```

Output

Enter the size of matrix (rows,columns):3 4

Enter no. of non-zero elements:4

Enter the next triple(row,column,value):1 0 5

Enter the next triple(row,column,value):1 2 3

Enter the next triple(row,column,value):2 1 1

Enter the next triple(row,column,value):2 3 2

After Transpose:

row column value
4 3 4
0 1 5
1 2 1
2 1 3
3 2 2

### 11 thoughts on “C Program for Finding Transpose of a Sparse Matrix”

1. It’s very simple and easy to understand code from all the sources available so far with me

2. thanks a lot but code has a very small mistake ……..in last 2nd for loop
its like :
the corrected one:

for(i=0;i<=b1[0][1];i++)