Program to Find Normal and Trace of a Matrix in PHP using For loop

Program to find normal and trace of a matrix in PHP using for loop. In this article, you will learn how to make program to find normal and trace of a matrix in php using for loop.

What is the Normal of a square matrix?

The square root of the sum of the squares of each element of the matrix.

What is the Trace of a square matrix?

The sum of the diagonal elements of the square matrix.

Source Code

<?php
// Program to Find Normal and Trace of a Matrix in PHP using For loop

$x = array(
    array(43, 54, 4),
    array(3, 54, 23),
    array(54, 23, 5)
);

// $x - To store the matrix elements of 3 x 3 dimension
$sum = 0;
$sum1 = 0;
$a = 0;

for ($i = 0; $i < count ($x); $i++) {
    
    for ($j = 0; $j < count ($x[$i]); $j++) {
        $a = $x[$i][$j] * $x[$i][$j];
        $sum1 += $a;
    }
    $sum = $sum + $x[$i][$i];
}

$normal = sqrt ($sum1);

echo "The normal of the given matrix is: ".$normal;
echo "\n\nThe Trace of the given matrix is: ".$sum."\n";

?>

Run Program

Output