From Today's Algebra Class

By Hal Canary, 2003-03-11 12:18:01 (link)

You can define a natural isomorphism from HomR(R1), R2)) to (R2))Λ1. (Where HomR(R1), R2)) is the R-linear homomorphisms from R1) to R2).)

HomR(R1), R2)) ---> R2) , Λ1

If f is an element of HomR(R1), R2)) then that map sends f to [f], a (Λ2) , Λ1 matrix.

Isn't that the most beautiful thing you've ever seen?