Vector spaces and subspaces over finite fields

A surprising amount of linear algebra doesn’t depend on the field you’re working over. You can implicitly assume you’re working over the real numbers R and prove all the basic theorems—say all the theorems that come before getting into eigenvalues in a typical course—and all or nearly all of the theorems remain valid if you swap […] The post Vector spaces and subspaces over finite fields first appeared on John D. Cook....