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Transpose Matrix

Problem Description​

Given a 2D integer array matrix, return the transpose of matrix.

Example​

Example 1:

Input: matrix = [[1,2,3],[4,5,6],[7,8,9]]
Output: [[1,4,7],[2,5,8],[3,6,9]]

Example 2:

Input: matrix = [[1,2,3],[4,5,6]]
Output: [[1,4],[2,5],[3,6]]

Constraints​

  • 1 <= m * n <= 105

Solution Approach​

Intuition:​

To efficiently determine the transpose of the matrix

Solution Implementation​

Code (C++):​

class Solution {
public:
    vector<vector<int>> transpose(vector<vector<int>>& matrix) {
        int m = matrix.size();
        int n = matrix[0].size();
        vector<vector<int>> ans(n, vector<int>(m));
        for(int i=0; i<m; i++){
            for(int j=0; j<n; j++){
                ans[j][i]=matrix[i][j];
            }
        }
        return ans;
    }
};