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!