I highly recommend taking a look at George Hart's work on linear algebra: http://georgehart.com/research/multanal.html http://georgehart.com/research/multanal.h

I highly recommend taking a look at George Hart's work on linear algebra: http://georgehart.com/research/multanal.html http://georgehart.com/research/multanal.html , although I do think he misses the point (or at least insufficiently emphasizes) that you almost never want to work with linear maps that cannot be described by a set of units on each axis that are multiplied together to get the entries.