Interactive element. An interactive linear transformation sandbox. Select a matrix entry by clicking on one of the blocks to the right, then adjust the value with the slider below. Observe how different transformations emerge on the left.

## Linear transformation

Linear transformation

The connection between the entries of a transformation matrix A and the resulting linear transformation Ax can sometimes be a bit unintuitive. Here,

A is a D-by-D matrix (a linear transformation operator),

x is a D-by-N matrix (a matrix of samples),

D is the number of variable space dimensions, andÂ

N is the number of samples.

Here, I provide a small sandbox for D=2 and N=100 that may help building some intuition.