Don’t let Keanu Reeves steal the focus!
This is an excellent tutorial on Singular Value Decomposition (SVD) by Todd Will from UW-La Crosse. I highly recommend it for everybody who deals with Linear Algebra.
Among other excellent insights, once you read the page on Perpframes, Aligner and Hangers (the 3rd page in that site), you will never see a matrix the same way again. It’s like the, erh, blue pill. (Or is it the red one? )