设计一个矩阵类Matrix，要求： 1）包含三个数据成员：data[32][32]，行数row, 列数col;要求row和col都不大于32； 2）为Matrix类添加如下几个成员函数： Matrix(int r,int col) ，矩阵的构造函数； FillMatrix ，矩阵的输入函数，用于从键盘输入数据到矩阵中； TransMatrix ，矩阵的转置函数，用于对本矩阵进行转置； 3） 为Matrix重载运算符+和*，要求运算符“+”以成员函数的形式重载，运算符“*”以友元函数的形式重载； 4） 重载运算符>>和<<，完成矩阵对象的整体输入输出，并在主程序中测试矩阵的写入文件和从文件读出。

下面是一个实现上述要求的 Matrix 类的示例代码：

#include <iostream>
#include <fstream>

using namespace std;

class Matrix {
private:
    int data[32][32];
    int row;
    int col;

public:
    Matrix(int r, int c) : row(r), col(c) {}

    void FillMatrix() {
        cout << "Enter the elements of the matrix:" << endl;
        for (int i = 0; i < row; i++) {
            for (int j = 0; j < col; j++) {
                cin >> data[i][j];
            }
        }
    }

    void TransMatrix() {
        Matrix transposed(col, row);
        for (int i = 0; i < row; i++) {
            for (int j = 0; j < col; j++) {
                transposed.data[j][i] = data[i][j];
            }
        }

        cout << "Transposed matrix:" << endl;
        for (int i = 0; i < transposed.row; i++) {
            for (int j = 0; j < transposed.col; j++) {
                cout << transposed.data[i][j] << " ";
            }
            cout << endl;
        }
    }

    Matrix operator+(const Matrix& other) {
        if (row != other.row || col != other.col) {
            cout << "Error: The matrices should have the same dimensions for addition." << endl;
            return *this;
        }

        Matrix result(row, col);
        for (int i = 0; i < row; i++) {
            for (int j = 0; j < col; j++) {
                result.data[i][j] = data[i][j] + other.data[i][j];
            }
        }

        return result;
    }

    friend Matrix operator*(const Matrix& matrix1, const Matrix& matrix2);

    friend ostream& operator<<(ostream& out, const Matrix& matrix);

    friend istream& operator>>(istream& in, Matrix& matrix);
};

Matrix operator*(const Matrix& matrix1, const Matrix& matrix2) {
    if (matrix1.col != matrix2.row) {
        cout << "Error: The number of columns in the first matrix should be equal to the number of rows in the second matrix for multiplication." << endl;
        return matrix1;
    }

    Matrix result(matrix1.row, matrix2.col);
    for (int i = 0; i < matrix1.row; i++) {
        for (int j = 0; j < matrix2.col; j++) {
            for (int k = 0; k < matrix1.col; k++) {
                result.data[i][j] += matrix1.data[i][k] * matrix2.data[k][j];
            }
        }
    }

    return result;
}

ostream& operator<<(ostream& out, const Matrix& matrix) {
    out << "Matrix:" << endl;
    for (int i = 0; i < matrix.row; i++) {
        for (int j = 0; j < matrix.col; j++) {
            out << matrix.data[i][j] << " ";
        }
        out << endl;
    }

    return out;
}

istream& operator>>(istream& in, Matrix& matrix) {
    cout << "Enter the elements of the matrix:" << endl;
    for (int i = 0; i < matrix.row; i++) {
        for (int j = 0; j < matrix.col; j++) {
            in >> matrix.data[i][j];
        }
    }

    return in;
}

int main() {
    int row, col;
    cout << "Enter the number of rows and columns for the matrix: ";
    cin >> row >> col;

    Matrix matrix1(row, col);
    cin >> matrix1;

    Matrix matrix2(row, col);
    cin >> matrix2;

    Matrix matrix3 = matrix1 + matrix2;
    cout << matrix3;

    Matrix matrix4 = matrix1 * matrix2;
    cout << matrix4;

    matrix1.TransMatrix();

    ofstream outputFile("matrix.txt");
    outputFile << matrix1;
    outputFile.close();

    ifstream inputFile("matrix.txt");
    Matrix matrix5(0, 0);
    inputFile >> matrix5;
    inputFile.close();

    cout << "Matrix read from file:" << endl;
    cout << matrix5;

    return 0;
}

这个代码实现了 Matrix 类，包含了构造函数、输入函数、转置函数以及运算符重载。你可以在主程序中测试矩阵的输入、输出、转置、加法和乘法运算，并可以将矩阵写入文件和从文件中读出。