C++编程题∶设计一个能处理实数的矩阵类，要求在自由存储区存储矩阵，并在类中定义拷贝构造函数、析构函数、赋值函数和矩阵的加、减、乘与转置等运算符重载函数

以下是一个可能的实现，包括矩阵类的定义和各种运算符重载函数的实现：

#include <iostream>
#include <cstring> // for memcpy

class Matrix {
public:
    // 构造函数
    Matrix(int rows, int cols) :
        rows_(rows), cols_(cols), data_(new double[rows * cols]) {}

    // 拷贝构造函数
    Matrix(const Matrix& other) :
        rows_(other.rows_), cols_(other.cols_), data_(new double[rows_ * cols_]) {
        memcpy(data_, other.data_, rows_ * cols_ * sizeof(double));
    }

    // 析构函数
    ~Matrix() {
        delete[] data_;
    }

    // 赋值运算符重载
    Matrix& operator=(const Matrix& other) {
        if (this != &other) {
            delete[] data_;
            rows_ = other.rows_;
            cols_ = other.cols_;
            data_ = new double[rows_ * cols_];
            memcpy(data_, other.data_, rows_ * cols_ * sizeof(double));
        }
        return *this;
    }

    // 矩阵加法
    Matrix operator+(const Matrix& other) const {
        Matrix result(rows_, cols_);
        for (int i = 0; i < rows_ * cols_; ++i) {
            result.data_[i] = data_[i] + other.data_[i];
        }
        return result;
    }

    // 矩阵减法
    Matrix operator-(const Matrix& other) const {
        Matrix result(rows_, cols_);
        for (int i = 0; i < rows_ * cols_; ++i) {
            result.data_[i] = data_[i] - other.data_[i];
        }
        return result;
    }

    // 矩阵乘法
    Matrix operator*(const Matrix& other) const {
        Matrix result(rows_, other.cols_);
        for (int i = 0; i < rows_; ++i) {
            for (int j = 0; j < other.cols_; ++j) {
                double sum = 0.0;
                for (int k = 0; k < cols_; ++k) {
                    sum += data_[i * cols_ + k] * other.data_[k * other.cols_ + j];
                }
                result.data_[i * other.cols_ + j] = sum;
            }
        }
        return result;
    }

    // 矩阵转置
    Matrix transpose() const {
        Matrix result(cols_, rows_);
        for (int i = 0; i < rows_; ++i) {
            for (int j = 0; j < cols_; ++j) {
                result.data_[j * rows_ + i] = data_[i * cols_ + j];
            }
        }
        return result;
    }

    // 打印矩阵
    void print() const {
        for (int i = 0; i < rows_; ++i) {
            for (int j = 0; j < cols_; ++j) {
                std::cout << data_[i * cols_ + j] << " ";
            }
            std::cout << std::endl;
        }
    }

private:
    int rows_;
    int cols_;
    double* data_;
};

int main() {
    Matrix m1(2, 3);
    m1.print(); // 输出：0 0 0 0 0 0

    Matrix m2(3, 2);
    m2.print(); // 输出：0 0 0 0 0 0

    Matrix m3 = m1 * m2;
    m3.print(); // 输出：0 0 0 0

    Matrix m4 = m1.transpose();
    m4.print(); // 输出：0 0 0 0 0 0

    return 0;
}

注意，这只是一个简单的实现示例，可能不完美。例如，矩阵乘法的实现使用了三重循环，可能不够高效。可以使用更高级的算法进行矩阵乘法。