# 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

Trace of a n x n square matrix is sum of diagonal elements.

## Problem statement

Given a square matrix, we have to find the trace of matrix.

## Finding the trace of matrix

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

```// 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.