4、编写函数，给定两个矩阵A和B，计算它们的乘积矩阵AB。其中矩阵的值从主函数中输入和输出。 注意：只有规模匹配的矩阵才可以相乘。即若A有Ra行、Ca列，B有Rb行、Cb列, 则只有Ca=Rb时，A和B才能相乘。用C语言编写

在C语言中，我们可以使用嵌套循环来计算两个矩阵的乘积。假设我们有两个二维数组`A`和`B`，它们的尺寸分别为`(row_a, col_a)`和`(row_b, col_b)`，那么只有当`col_a == row_b`时，这两个矩阵才允许相乘。以下是计算矩阵乘积的函数示例： ```c #include <stdio.h> #define MAX_ROWS 100 #define MAX_COLS 100 // 定义矩阵结构体 typedef struct { int data[MAX_COLS][MAX_COLS]; int rows, cols; } Matrix; // 初始化矩阵 Matrix create_matrix(int row, int col, const int values[]) { Matrix m; m.rows = row; m.cols = col; for (int i = 0; i < row; ++i) for (int j = 0; j < col; ++j) m.data[i][j] = values[i * col + j]; return m; } // 计算矩阵乘积 void matrix_multiply(Matrix A, Matrix B, Matrix result) { if (A.cols != B.rows) { printf("矩阵无法相乘，列数不匹配!\n"); return; } for (int i = 0; i < A.rows; ++i) { for (int j = 0; j < B.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; } } } // 输出矩阵 void print_matrix(const Matrix& m) { for (int i = 0; i < m.rows; ++i) { for (int j = 0; j < m.cols; ++j) { printf("%d ", m.data[i][j]); } printf("\n"); } } int main() { int row_a, col_a, row_b, col_b; printf("Enter the dimensions of matrix A (rows and columns): "); scanf("%d %d", &row_a, &col_a); printf("Enter the dimensions of matrix B (rows and columns): "); scanf("%d %d", &row_b, &col_b); if (col_a != row_b) { printf("矩阵无法相乘，列数不匹配!\n"); return 1; } int values_A[row_a * col_a], values_B[row_b * col_b]; printf("Enter the elements of matrix A:\n"); for (int i = 0; i < row_a * col_a; ++i) { scanf("%d", &values_A[i]); } printf("Enter the elements of matrix B:\n"); for (int i = 0; i < row_b * col_b; ++i) { scanf("%d", &values_B[i]); } Matrix A = create_matrix(row_a, col_a, values_A); Matrix B = create_matrix(row_b, col_b, values_B); Matrix C; matrix_multiply(A, B, C); printf("Matrix product AB is:\n"); print_matrix(C); return 0; }