编写C++代码：用户输入 2×2 矩阵的4个元素按行和列的顺序验出矩阵并计算矩阵的秩

#include <iostream>
using namespace std;

int main() {
    double a, b, c, d;
    cout << "请输入矩阵的4个元素，按行和列的顺序：" << endl;
    cin >> a >> b >> c >> d;
    double det = a*d - b*c; // 计算行列式的值
    if (det != 0) {
        cout << "该矩阵的秩为2" << endl;
    } else if (a != 0 || b != 0 || c != 0 || d != 0) {
        cout << "该矩阵的秩为1" << endl;
    } else {
        cout << "该矩阵的秩为0" << endl;
    }
    return 0;
}