# C program to find the trace of matrix

Here, we are going to learn how to find the trace of matrix in C programming language?
Submitted by Nidhi, on July 14, 2021

Problem Solution:

Trace of a n x n square matrix is sum of diagonal elements. Given a square matrix, we have to find the trace of matrix.

Program:

The source code to find the trace of Matrix is given below. The given program is compiled and executed using GCC compile on UBUNTU 18.04 OS successfully.

```// C program to find the trace of Matrix

#include <stdio.h>

int main()
{
int Matrix[3][3] = {
{ 9, 8, 7 },
{ 5, 4, 6 },
{ 1, 2, 3 }
};

int i, j, trace = 0;

printf("Matrix:\n");
for (i = 0; i < 3; ++i) {
for (j = 0; j < 3; ++j) {
printf(" %d", Matrix[i][j]);
}
printf("\n");
}

//Find trace of elements
for (i = 0; i < 3; ++i)
trace = trace + Matrix[i][i];

printf("Trace of matrix is: %d\n", trace);

return 0;
}
```

Output:

```Matrix:
9 8 7
5 4 6
1 2 3
Trace of matrix is: 16
```

Explanation:

Here, we created a 3X3 matrix matrix using the 2D array. Then we find the trace of the matrix. After that, we printed the Matrix and trace of matrix on the console screen.