series on Linear Algebra. Here we solve the most fundamental problem in

the subject in the 3x3 case---in such a way that extension to higher

dimensions becomes almost obvious.

What is the fundamental problem? It

is: How to invert a change of coordinates? Or in matrix terms: How to

find the inverse of a matrix?

And the answer rests squarely on the wonderful function called the

determinant. Be prepared for some algebra, but it is beautiful algebra!