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 y=Ax can sometimes be a bit unintuitive. Here,
A is a 2-by-2 matrix (a linear transformation operator),
x=[x1,x2] is a 2-by-100 matrix (a matrix of 100 samples in 2D)
Experiment with different matrices A to see how the output the linear transformation looks like.