C实现--行列式计算

前一段时间在复习线性代数的知识；实现一下关于行列式的计算；我们再线性代数里，关于行列式的话，我们知道；AxA* = |A|I;需要伴随矩阵；但是我个人认为，因为有计算机的存在，所以是不是可以硬算行列式？反正我是这么写的；就是通过递归计算代数余子式；直接看代码吧；

#include <stdio.h>
#include <string.h>
#include <malloc.h>
#include <math.h>
#include <time.h>  
#include <stdlib.h>
int daishuyuzhishi(int**arr, int**arr_tmp, int hang, int lie,int x,int y)
{
    int i, j;
    for (i = 0; i < x; i++)
    {
        for (j = 0; j < y; j++)
        {
            arr_tmp[i][j] = arr[i][j];
        }
    }
    for (i = x + 1; i < hang; i++)
    {
        for (j = y + 1; j < lie; j++)
        {
            arr_tmp[i - 1][j - 1] = arr[i][j];
        }
    }
    for (i = x + 1; i < hang; i++)
    {
        for (j = 0; j < y; j++)
        {
            arr_tmp[i - 1][j] = arr[i][j];
        }
    }
    for (i = 0; i < x; i++)
    {
        for (j = y + 1; j < lie; j++)
        {
            arr_tmp[i][j-1] = arr[i][j];
        }
    }
    return 0;
}
int hanglieshical(int** arr, int hang, int lie)
{
    if (arr == NULL || *arr == NULL || hang != lie)
    {
        printf("the input error!\n");
        return -1;
    }
    if (hang == 2)
    {
        int sum = arr[0][0] * arr[1][1] - arr[0][1] * arr[1][0];
        return sum;
    }
    int i, j, sum = 0;
    int**arr_tmp = (int**)calloc(hang-1,sizeof(int*));
    for (i = 0; i < hang - 1; i++)
        arr_tmp[i] = (int*)calloc(lie - 1, sizeof(int));
    for (i = 0; i < hang; i++)
    {
        for (j = 0; j < lie; j++)
        {
            daishuyuzhishi(arr, arr_tmp, hang, lie, i, j);
            sum += pow(-1,(i+j))*arr[i][j] * hanglieshical(arr_tmp, hang - 1, lie - 1);
        }
    }
    return sum;
}
int main(void)
{
    int sum;
    int i,j,k = 1;
    
    int**arr = (int**)calloc(3, sizeof(int*));
    for (i = 0; i < 3; i++)
        arr[i] = (int*)calloc(3, sizeof(int));
    for (i = 0; i < 3; i++)
    {
        for (j = 0; j < 3; j++)
        {
            arr[i][j] = k;
            if (i == 2 && j == 1)
            {
                k += 2;
            }
            else
                k++;
        }
    }
    sum = hanglieshical(arr, 3, 3);
    printf("the sum is %d\n", sum);
    return 0;
}

如果大家还有什么好的建议，也欢迎提问和给出建议，谢谢~