Here's an example of how you could create a website using HTML, CSS, and JavaScript to display a grid of dots and allow the user to input a transformation matrix to transform the dots:

HTML:

```php
<!DOCTYPE html>
<html>
<head>
	<meta charset="utf-8">
	<title>Dot Transformation</title>
	<link rel="stylesheet" href="style.css">
</head>
<body>
	<h1>Dot Transformation</h1>
	<canvas id="canvas"></canvas>
	<form>
		<label for="matrix">Transformation Matrix:</label>
		<textarea id="matrix" name="matrix" rows="4" cols="20"></textarea>
		<button type="button" onclick="transform()">Transform</button>
	</form>
	<script src="script.js"></script>
</body>
</html>
```



CSS:

```css
canvas {
	display: block;
	margin: 20px auto;
	border: 1px solid black;
}
```



JavaScript:

```scss
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');

const DOT_SIZE = 5;
const GRID_SIZE = 50;
const DOT_SPACING = 10;
const NUM_DOTS = GRID_SIZE * GRID_SIZE;
const dots = [];

function init() {
	canvas.width = GRID_SIZE * DOT_SPACING;
	canvas.height = GRID_SIZE * DOT_SPACING;

	for (let i = 0; i < NUM_DOTS; i++) {
		dots.push({x: i % GRID_SIZE * DOT_SPACING, y: Math.floor(i / GRID_SIZE) * DOT_SPACING});
	}

	drawDots();
}

function drawDots() {
	ctx.clearRect(0, 0, canvas.width, canvas.height);
	ctx.fillStyle = 'black';

	for (let i = 0; i < NUM_DOTS; i++) {
		ctx.beginPath();
		ctx.arc(dots[i].x, dots[i].y, DOT_SIZE, 0, Math.PI * 2);
		ctx.fill();
	}
}

function transform() {
	const matrixString = document.getElementById('matrix').value;
	const matrixArray = matrixString.trim().split(/\s+/).map(Number);

	if (matrixArray.length !== 6 || matrixArray.some(isNaN)) {
		alert('Invalid transformation matrix.');
		return;
	}

	const a = matrixArray[0];
	const b = matrixArray[1];
	const c = matrixArray[2];
	const d = matrixArray[3];
	const e = matrixArray[4];
	const f = matrixArray[5];

	for (let i = 0; i < NUM_DOTS; i++) {
		const x = dots[i].x;
		const y = dots[i].y;

		dots[i].x = a * x + c * y + e;
		dots[i].y = b * x + d * y + f;
	}

	drawDots();
}

init();
```




This code creates a canvas element to display the dots and provides a form for the user to input a transformation matrix. When the user clicks the "Transform" button, the input matrix is used to transform the positions of the dots and redraw them on the canvas. The grid size, dot spacing, and dot size can be adjusted by changing the constant values in the JavaScript code.
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