By | 18.11.2016

# Find Norm and Trace of a Matrix

Write a C program to find Norm and Trace of a Matrix. Here’s simple Program to find Norm and Trace of a Matrix in C Programming Language.

## What is Matrix ?

Matrix representation is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

Two-dimensional Arrays : :

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

type arrayName [ x ][ y ];

Where type can be any valid C data type and arrayName will be a valid C identifier.

Below is the source code for C program to find Norm and Trace of a Matrix which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/*  C program to find Norm and Trace of a Matrix  */

#include<stdio.h>
#include<math.h>

int main()
{
static int array;
int i, j, m, n, sum = 0, sum1 = 0, a = 0, normal;

printf("Enter no. of rows :: ");
scanf("%d", &m);
printf("\nEnter no. of cols :: ");
scanf("%d",&n);
printf("\nEnter values to the matrix :: \n");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
printf("\nEnter a[%d][%d] value :: ",i,j);
scanf("%d", &array[i][j]);
a = array[i][j] * array[i][j];
sum1 = sum1 + a;
}
}

normal = sqrt((double)sum1);
printf("\nThe Normal of the given matrix is = %d \n", normal);
for (i = 0; i < m; ++i) {
sum = sum + array[i][i];
}
printf("\nTrace of the matrix is = %d \n", sum);

return 0;
}```

### Output : :

```/*  C program to find Norm and Trace of a Matrix  */

Enter no. of rows :: 3

Enter no. of cols :: 3

Enter values to the matrix ::

Enter a value :: 1

Enter a value :: 2

Enter a value :: 3

Enter a value :: 4

Enter a value :: 5

Enter a value :: 6

Enter a value :: 7

Enter a value :: 8

Enter a value :: 9

The Normal of the given matrix is = 16

Trace of the matrix is = 15

Process returned 0```

Above is the source code for C program to find Norm and Trace of a Matrix which is successfully compiled and run on Windows System.The Output of the program is shown above .

If you found any error or any queries related to the above program or any questions or reviews , you wanna to ask from us ,you may Contact Us through our contact Page or you can also comment below in the comment section.We will try our best to reach up to you in short interval. 