Write a C Program to Calculate the Trace and Normal of a Matrix

                                                                                              


Trace: Trace of a Matrix can be defined as the sum of the main diagonal elements.
Normal: Normal can be defined as the square root of the sum of squares of all the elements of a Matrix.

#include<stdio.h>

#include<conio.h>

void main()

{

int i , j , n ;                                       /* 'i' used for Rows and 'j' used for Columns */

int Row , Column;

int Matrix[9][9];

float trace , sum , normal;

clrscr();

trace = 0;

sum = 0;

printf(" Enter the order of Matrix\n");

scanf("%d * %d" , &Row , &Column);

printf(" Enter the elements of Matrix\n");

for(i=0 ; i<Row ; i++)

{

for(j=0 ; j<Column ; j++)

{

scanf("%d" , &Matrix[i][j] );

}

}

                                                  /* Trace and Normal */

for(i=0 ; i<Row ; i++)

{

for(j=0 ; j<Column ; j++)

{

if(i==j)

{

trace + = Matrix[i][j];                   /* It can also be Written as  trace=trace+Matrix[i][j]  */

}

sum + = pow( Matrix[i][j] , 2 );       

}

}

normal = sqrt(sum);

printf(" Trace = %f\n" , trace);

printf(" Normal = %f\n" , normal);
getch();

}                                                               /* End of main() */