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Write a C program to find Norm and Trace of a Matrix

robaa
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2022-11-24
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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.

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robaa
2022-11-24
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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[10][10];
        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[0][0] value :: 1

Enter a[0][1] value :: 2

Enter a[0][2] value :: 3

Enter a[1][0] value :: 4

Enter a[1][1] value :: 5

Enter a[1][2] value :: 6

Enter a[2][0] value :: 7

Enter a[2][1] value :: 8

Enter a[2][2] 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 .

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