C ++程序检查矩阵是否为下三角形
给定一个方阵,任务是检查矩阵是否为下三角形式。如果主对角线以上的所有项都为零,则方矩阵称为下三角矩阵。
例子:
Input : mat[4][4] = {{1, 0, 0, 0},
{1, 4, 0, 0},
{4, 6, 2, 0},
{0, 4, 7, 6}};
Output : Matrix is in lower triangular form.
Input : mat[4][4] = {{1, 0, 0, 0},
{4, 3, 0, 1},
{7, 9, 2, 0},
{8, 5, 3, 6}};
Output : Matrix is not in lower triangular form.
C++
// Program to check lower
// triangular matrix.
#include
#define N 4
using namespace std;
// Function to check matrix is in
// lower triangular form or not.
bool isLowerTriangularMatrix(int mat[N][N])
{
for (int i = 0; i < N; i++)
for (int j = i + 1; j < N; j++)
if (mat[i][j] != 0)
return false;
return true;
}
// Driver function.
int main()
{
int mat[N][N] = { { 1, 0, 0, 0 },
{ 1, 4, 0, 0 },
{ 4, 6, 2, 0 },
{ 0, 4, 7, 6 } };
// Function call
if (isLowerTriangularMatrix(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下三角形!