用C语言实现一个矩阵加法，减法，乘法，数乘，转置的运算的系统

在C语言中，我们可以创建一个简单的矩阵运算系统，使用二维数组来存储矩阵，并定义相应的函数来执行加法、减法、乘法、数乘和转置操作。这里是一个基础的实现示例：

#include <stdio.h>

// 定义矩阵结构体
typedef struct {
    int rows;
    int cols;
    int data[100][100]; // 假设我们处理的矩阵不大于100x100
} Matrix;

// 矩阵加法
Matrix add(Matrix a, Matrix b) {
    Matrix result = {a.rows, a.cols};
    for (int i = 0; i < result.rows; i++) {
        for (int j = 0; j < result.cols; j++) {
            result.data[i][j] = a.data[i][j] + b.data[i][j];
        }
    }
    return result;
}

// 矩阵减法
Matrix subtract(Matrix a, Matrix b) {
    Matrix result = {a.rows, a.cols};
    for (int i = 0; i < result.rows; i++) {
        for (int j = 0; j < result.cols; j++) {
            result.data[i][j] = a.data[i][j] - b.data[i][j];
        }
    }
    return result;
}

// 矩阵乘法（假设都是方阵）
Matrix multiply(Matrix a, Matrix b) {
    if (a.cols != b.rows) {
        printf("错误：无法相乘，矩阵列数不匹配\n");
        return NULL;
    }
    Matrix result = {a.rows, b.cols};
    for (int i = 0; i < result.rows; i++) {
        for (int j = 0; j < result.cols; j++) {
            int sum = 0;
            for (int k = 0; k < a.cols; k++) {
                sum += a.data[i][k] * b.data[k][j];
            }
            result.data[i][j] = sum;
        }
    }
    return result;
}

// 数字乘矩阵
Matrix numMultiply(int num, Matrix a) {
    Matrix result = {a.rows, a.cols};
    for (int i = 0; i < result.rows; i++) {
        for (int j = 0; j < result.cols; j++) {
            result.data[i][j] = num * a.data[i][j];
        }
    }
    return result;
}

// 矩阵转置
Matrix transpose(Matrix a) {
    Matrix transposed = {a.cols, a.rows};
    for (int i = 0; i < a.rows; i++) {
        for (int j = 0; j < a.cols; j++) {
            transposed.data[j][i] = a.data[i][j];
        }
    }
    return transposed;
}

int main() {
    // 示例用法
    Matrix m1 = {3, 3, {1, 2, 3, 4, 5, 6, 7, 8, 9}};
    Matrix m2 = {3, 3, {10, 11, 12, 13, 14, 15, 16, 17, 18}};
    
    Matrix m_add = add(m1, m2);
    Matrix m_subtract = subtract(m1, m2);
    Matrix m_multiply = multiply(m1, m2); // 假设m1和m2可相乘
    Matrix m_num = numMultiply(2, m1);
    Matrix m_transpose = transpose(m1);

    // 打印结果矩阵
    // ...

    return 0;
}