Study Materials

Supplementary Notes

The following notes supplement the readings in the course textbook as described in the Readings section.

Notes for Lecture 8: One-sided Inverses (PDF)

Notes for Lectures 8 and 9: Gaussian Elimination (PDF)

Notes for Lectures 8, 10 and 13: Finite Fields (PDF)

Notes for Lecture 15: Orthogonal Bases (PDF)

Notes for Lecture 18: Proof of the Spectral Theorem (PDF)

Notes for Lectures 22 and 23: Generalized Eigenspaces (PDF)


There are two extra notes.

Some interesting bases (PDF)

Mathematical formalism of quantum mechanics (PDF)