College Math Games .com

Page Transformer

So you like matrices? And you think linear transformations are cool? Alright then, let's mess with some web pages for fun. Linear tranformations can be applied to any 2D image. It can be

flipped

stretched
sheared
etc.

Here's what we will do. There is a URL entry field on the top left, as well as a table representing the identity matrix I2. When you enter entries for the matrix and press the "Transform" button, the screen will be tranformed based on the linear transformation defined by your 2x2 matrix. Let's give it a quick try. Before reading any more of this page, change the matrix to

-10
01

and press the "Transform" button. Then read below.

NIAGA 'MORFSNART SSERP DNA XIRTAM YTITNEDI EHT RETNE WON

Now you can enter the URL of a site you want to mess with, and then enter any transformation matrix you want. (You can always enter the identity matrix to return to normal.) Read the notes below if you have any trouble. Have fun!