Find normal of a square matrix.

Posted on Apr 25, 2020

C program to find normal of a square matrix.

Normal is defined only for square matrix (number of rows = number of columns). Normal of the matrix is the square root of the sum of the squares of each element of the matrix.

Program

#include<stdio.h>
#include<conio.h>
#include<math.h>
#define MAX 10

void main()
{
	int mat[MAX][MAX];
    int row, col, sum;
    double normal;
    int i, j;

    printf("Enter the number of rows or columns of the square matrix\t:");
    scanf("%d",&row);
    col = row;

    printf("Enter the elements\n");
    for(i=0;i<row;i++)
    {
        for(j=0;j<col;j++)
        {
            printf("Element [%d][%d]\t:",i,j);
            scanf("%d",&mat[i][j]);
        }
    }

    printf("\n\nMatrix entered is\n");
    for(i=0;i<row;i++)
    {
        for(j=0;j<col;j++)
        {
            printf("%d\t",mat[i][j]);
        }
        printf("\n");
    }

    sum = 0;
    for(i=0;i<row;i++)
    {
        for(j=0;j<col;j++)
        {
            sum = sum + (mat[i][j]*mat[i][j]);
        }
    }
    normal = sqrt(sum);

    printf("\nNormal of the matrix is %lf",normal);

    getch();
}

Output

Enter the number of rows or columns of the square matrix        :3
Enter the elements
Element [0][0]  :1
Element [0][1]  :2
Element [0][2]  :3
Element [1][0]  :4
Element [1][1]  :5
Element [1][2]  :6
Element [2][0]  :7
Element [2][1]  :8
Element [2][2]  :9


Matrix entered is
1       2       3
4       5       6
7       8       9

Normal of the matrix is 16.881943