Linear Algebra review topics

[hmc-cs-choyt]

I figured that someone should probably start some location with a collection of topics that we might want to cover during the review sessions (Thursdays from 6:30-9:15pm).

Personally, I would like it if we could review some of the topics that were covered in math 70 (or learn for those who haven't taken it yet). Concepts like

• Inner product spaces and related theorems
• The Gram-Schmidt procedure
• The Spectral and Real-Spectral theorems

Also, there were a few other concepts I wasn't familiar with-

• The Principal Axis Theorem
• Positive-definite matrices
• How linear algebra relates to polynomials of more than one variable

Did anyone else have any major topics that they wanted to cover?

[NLTrieu]

Nothing new, but I too was unfamiliar with positive-definite matrices, the Principal Axis Theorem, and equivalence under linear transformations from questions 18-20.

[yichenlu47]

Basically sessions 4 and 5 in the review material, Matrix factorizations and Matrix Calculus, are new to me so it will be nice if we could briefly go over those. Thx.