Linear Transformations

Scale Transformation

In PHP it can be written as a class LinearTransformation with implementation of linear transformation operations.

Example of use


<?php

// Example 1: 2x2 matrix (scale transformation)
$transformMatrix = [
    [2, 0],
    [0, 3]
];

$vector2D = [1, 2];

$transformation2D = new LinearTransformation($transformMatrix);
$result2D = $transformation2D->transform($vector2D);

echo "2D Transformation Result: [<span id='output-vector'>" . implode(", ", $result2D) . "</span>]\n";

Chart:

Transformation Matrix ($A$)

X Component:

Y Component:

Input Vector ($x$)

X Component:

Y Component:

Output Vector ($Ax$)

X Component:

Y Component:

Result: Memory: 0.001 Mb Time running: < 0.001 sec.


                2D Transformation Result: [2, 6]