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Matrices - A. Freddie Page
Matrices are a way of representing linear transformations. As they are written, they are just a list of vectors that tell us where to move a set of basis vectors to during a transformation. I.e., the first column is where the basis vector i maps to, and the second column is where the basis vector j maps to.

Grab the vectors with your mouse, move them around then press “Animate!” to see the transformation in action.