Php Program to check if matrix is upper triangular
Last Updated :
10 Jun, 2022
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
$N = 4;
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;
}
$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" ;
?>
|
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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