# Math 4326 Linear Algebra

Major Theorems for Final Exam

## Spring 2017

One of these three theorems will appear on the final exam for you to give the proof of:
**5.21**: Every operator on a finite-dimensional, nonzero, complex vector space has an eigenvalue.
**6.31/6.34**: Gram-Schmidt and the existence of orthonormal bases in an inner-product space.
**7.29**: Real Spectral Theorem.

[Note: These statements are just quick, imprecise summaries of each result.]