Untitled

import java.util.Scanner;

public class tracetranspose {

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

        System.out.print("Enter the number of rows: ");
        int rows = scanner.nextInt();
        System.out.print("Enter the number of columns: ");
        int cols = scanner.nextInt();

        int[][] matrix = new int[rows][cols];

        System.out.println("Enter the elements of the matrix:");
        for (int i = 0; i < rows; i++) {
            for (int j = 0; j < cols; j++) {
                System.out.print("Element [" + i + "][" + j + "]: ");
                matrix[i][j] = scanner.nextInt();
            }
        }

        System.out.println("The matrix is:");
        displayMatrix(matrix);

        if (rows == cols) {
            int trace = 0;
            for (int i = 0; i < rows; i++) {
                trace += matrix[i][i];
            }
            System.out.println("Trace of the matrix: " + trace);
        } else {
            System.out.println("The matrix is not square, so trace is not defined.");
        }

        int[][] transpose = transposeMatrix(matrix);
        System.out.println("The transpose of the matrix is:");
        displayMatrix(transpose);
    }
    private static void displayMatrix(int[][] matrix) {
        for (int[] row : matrix) {
            for (int elem : row) {
                System.out.print(elem + "\t");
            }
            System.out.println();
        }
    }

    private static int[][] transposeMatrix(int[][] matrix) {
        int rows = matrix.length;
        int cols = matrix[0].length;
        int[][] transpose = new int[cols][rows];
        
        for (int i = 0; i < rows; i++) {
            for (int j = 0; j < cols; j++) {
                transpose[j][i] = matrix[i][j];
            }
        }
        return transpose;
    }
}