**Find Norm and Trace of a Matrix**

**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 : :**

**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 : :**

**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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