Here is an adjusted version of the JavaScript code that resizes the resulting matrix to fit in the grid:

```javascript
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 MAX_SIZE = GRID_SIZE * DOT_SPACING;
const dots = [];

function init() {
	canvas.width = MAX_SIZE;
	canvas.height = MAX_SIZE;

	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 resetDots() {
	for (let i = 0; i < NUM_DOTS; i++) {
		dots[i] = {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];

    
    // Initialize min and max for x and y to canvas limits 
    let minX = MAX_SIZE;
    let maxX = -MAX_SIZE;
    let minY = MAX_SIZE;
    let maxY = -MAX_SIZE;

	for (let i = 0; i < NUM_DOTS; i++) {
		const x = dots[i].x;
		const y = dots[i].y;
        
        const newX = a * x + c * y + e; 
        const newY = b * x + d * y + f; 

		dots[i].x = newX;
		dots[i].y = newY;

        // Update min and max after transformation
        if(newX < minX){
            minX = newX;
        }
        if(newX > maxX){
            maxX = newX;
        }

        if(newY < minY){
            minY = newY;
        }
        if(newY > maxY){
            maxY = newY;
        }
	}

    // Calculate how much to reduce the X and Y so that it fits in the grids
    const xFactor = (maxX - minX) / MAX_SIZE;
    const yFactor = (maxY - minY) / MAX_SIZE;

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

        if(xFactor === 0){
            // if xFactor is zero that means all X values are the same
            dots[i].x = DOT_SPACING;
        } else {
            dots[i].x = (x - minX) / xFactor;
        }
        
        if(yFactor === 0){
            // if yFactor is zero that means all Y values are the same
            dots[i].x = DOT_SPACING;
        } else {
            dots[i].y = (y - minY) / yFactor;
        }
    }

	drawDots();
}

init();
```
I've also added a reset function that could be added to a button in the HTML.
Here is the modified HTML with the added button:
```html
<!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>
		<button type="button" onclick="resetDots()">Reset</button>
	</form>
	<script src="script.js"></script>
</body>
</html>
```
Keep in mind resizing the grid means you will only see relative value changes.

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