Transpose of a matrix is the process of swapping the rows to columns. For 2x3 matrix,
Matrix a11 a12 a13 a21 a22 a23 Transposed Matrix a11 a21 a12 a22 a13 a23
Example: Program to Find Transpose of a Matrix
public class Transpose { public static void main(String[] args) { int row = 2, column = 3; int[][] matrix = { {2, 3, 4}, {5, 6, 4} }; // Display current matrix display(matrix); // Transpose the matrix int[][] transpose = new int[column][row]; for(int i = 0; i < row; i++) { for (int j = 0; j < column; j++) { transpose[j][i] = matrix[i][j]; } } // Display transposed matrix display(transpose); } public static void display(int[][] matrix) { System.out.println("The matrix is: "); for(int[] row : matrix) { for (int column : row) { System.out.print(column + " "); } System.out.println(); } } } Output
The matrix is: 2 3 4 5 6 4 The matrix is: 2 5 3 6 4 4
In the above program, display() function is only used to print the contents of a matrix to the screen.
Here, the given matrix is of form 2x3, i.e. row = 2 and column = 3.
For the transposed matrix, we change the order of transposed to 3x2, i.e. row = 3 and column = 2. So, we have transpose = int[column][row]
The transpose of the matrix is calculated by simply swapping columns to rows:
transpose[j][i] = matrix[i][j];