📜  C ++程序检查矩阵是否为上三角形

📅  最后修改于: 2022-05-13 01:54:52.022000             🧑  作者: Mango

C ++程序检查矩阵是否为上三角形

给定一个方阵,任务是检查矩阵是否为上三角形式。如果主对角线以下的所有项都为零,则方阵称为上三角阵。

例子:

Input : mat[4][4] = {{1, 3, 5, 3},
                     {0, 4, 6, 2},
                     {0, 0, 2, 5},
                     {0, 0, 0, 6}};
Output : Matrix is in Upper Triangular form.

Input : mat[4][4] = {{5, 6, 3, 6},
                     {0, 4, 6, 6},
                     {1, 0, 8, 5},
                     {0, 1, 0, 6}};
Output : Matrix is not in Upper Triangular form.

C++
// Program to check upper triangular matrix.
#include 
#define N 4
using namespace std;
  
// Function to check matrix is in upper triangular
// form or not.
bool isUpperTriangularMatrix(int mat[N][N])
{
    for (int i = 1; i < N; i++)
        for (int j = 0; j < i; j++)
            if (mat[i][j] != 0)
                return false;
    return true;
}
  
// Driver function.
int main()
{
    int mat[N][N] = { { 1, 3, 5, 3 },
                      { 0, 4, 6, 2 },
                      { 0, 0, 2, 5 },
                      { 0, 0, 0, 6 } };
    if (isUpperTriangularMatrix(mat))
        cout << "Yes";
    else
        cout << "No";
    return 0;
}


输出:

Yes

有关更多详细信息,请参阅有关程序的完整文章以检查矩阵是否为上三角形!