# Theoretical linear algebra (Math 25A)

Undergraduate course, *Harvard University*, 2017

## Summary

A rigorous course in linear algebra with an emphasis on proof-writing. Topics included: construction of number systems; fields, vector spaces and linear transformations; eigenvalues and eigenvectors; inner products and the spectral theorem; determinants. The course followed Axler’s *Linear algebra done right* (Ch 1-7, 10) after a short introduction using Chapter 1 of Simmons’ *Introduction to topology and modern analysis*. This course is part one of a two-part course. The second semester is a rigorous course in multivariable calculus.

## Homework assignments

HW1 HW2 HW3 HW4 HW5 HW6 HW7 HW8 HW9

## Lecture notes

A pdf of lecture notes taken by Michele Tienne (course assistant).