Transpose a matrix

Description: Transpose the matrix {{1,2,3},{4,5,6}}. The result must be {{1,4},{2,5},{3,6}}.

Hint:

• The new matrix has columns rows and rows columns. Copy m[i][j] to t[j][i].

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Solution

import java.util.Arrays;

public class Main {
    static int[][] transpose(int[][] m) {
        int rows = m.length, cols = m[0].length;
        int[][] t = new int[cols][rows];
        for (int i = 0; i < rows; i++) {
            for (int j = 0; j < cols; j++) {
                t[j][i] = m[i][j];
            }
        }
        return t;
    }

    public static void main(String[] args) {
        int[][] m = {{1, 2, 3}, {4, 5, 6}};
        System.out.println(Arrays.deepToString(transpose(m)));
    }
}

How it works

• A 2 x 3 matrix becomes a 3 x 2 matrix, so a new array with the sizes swapped is needed.

Read Multidimensional Arrays.

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