Given a square matrix and the task is to check the matrix is in upper triangular form or not. A square matrix is called upper triangular if all the entries below the main diagonal are zero.
Examples:
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.
PHP
<?php// PHP Program to check upper // triangular matrix.$N = 4;// Function to check matrix is // in upper triangular form or// not.function isUpperTriangularMatrix($mat){ global $N; for ($i = 1; $i < $N; $i++) for ($j = 0; $j < $i; $j++) if ($mat[$i][$j] != 0) return false; return true;} // Driver Code $mat = array(array(1, 3, 5, 3), array(0, 4, 6, 2) , array(0, 0, 2, 5), array(0, 0, 0, 6)); if (isUpperTriangularMatrix($mat)) echo "Yes"; else echo"No";// This code is contributed by anuj_67.?> |
Output:
Yes
Time Complexity: O(n2), where n represents the number of rows and columns of the matrix.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
Please refer complete article on Program to check if matrix is upper triangular for more details!
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