Program to Find Normal and Trace of a Matrix in Java using For loop

Program to find normal and trace of a matrix in java using for loop. In this article, you will learn how to make program to find normal and trace of a matrix in java using for loop.

What is the Normal of a square matrix?

The square root of the sum of the squares of each element of the matrix.

What is the Trace of a square matrix?

The sum of the diagonal elements of the square matrix.

Source Code

// Program to Find Normal and Trace of a Matrix in Java using For loop
import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);

        int i, j, n, sum = 0, a = 0;
        double sum1 = 0, normal;

        System.out.println ("Enter the number of rows[columns] of the matrix::\n");
        n = in.nextInt();
        
        int x[][];
        x = new int[n][n];

        System.out.println ("\n----Enter the " + n * n + " elements of the first matrix----\n");

        for(i = 0; i < n; i++) {
            for(j = 0; j < n; j++) {
                x[i][j] = in.nextInt();
                a = x[i][j] * x[i][j];
                sum1 += a;
            }
        }
        
        normal = (double) Math.sqrt(sum1);

        System.out.println ("\n\nThe normal of the given matrix is: " + normal);
        for(i = 0; i < n; i++) {
            sum = sum + x[i][i];
        }
        System.out.println ("\nThe Trace of the given matrix is: " + sum + "\n");
    }
}

Run Program

Output