C++矩阵问题:转置矩阵的输出不正确

#include <iostream>

const int MAX_SIZE = 100;

void transposeMatrix(int matrix[MAX_SIZE][MAX_SIZE], int rows, int cols) {
    int transposed[MAX_SIZE][MAX_SIZE];

    // 转置操作
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < cols; j++) {
            transposed[j][i] = matrix[i][j];
        }
    }

    // 输出转置矩阵
    std::cout << "转置矩阵：" << std::endl;
    for (int i = 0; i < cols; i++) {
        for (int j = 0; j < rows; j++) {
            std::cout << transposed[i][j] << " ";
        }
        std::cout << std::endl;
    }
}

int main() {
    int matrix[MAX_SIZE][MAX_SIZE];
    int rows, cols;

    // 输入矩阵的行列数
    std::cout << "请输入矩阵的行数和列数：" << std::endl;
    std::cin >> rows >> cols;

    // 输入矩阵元素
    std::cout << "请输入矩阵的元素：" << std::endl;
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < cols; j++) {
            std::cin >> matrix[i][j];
        }
    }

    // 调用转置函数
    transposeMatrix(matrix, rows, cols);

    return 0;
}