hut23-linear-algebra

Repository for the Linear Algebra reading group. Some material in this repo uses $\LaTeX$ (and/or Makefiles). On a mac, use brew install mactex.

Schedule

Date	Topic	Reading
6 Oct	First meeting	Axler Chapter 1.A (part A only)§
13 Oct	Complex numbers; $\mathbf{R}^n$	Exercises 1.A
20 Oct	Definition of vector space	Axler, 1.B
27 Oct	Vector spaces	Exercises, Axler 1.B
3 Nov	Subspaces	Axler, 1.C (discussion w/o James)
10 Nov	Subspaces (and direct sums)	Exercises, Axler 1.C
17 Nov	Linear independence	Axler 2.A (discussion)
2024
19 Jan	Dimension	Exercises, Axler 2.C
26 Jan	Linear maps!	Axler, 3.A (discussion)
2 Feb	Linear maps	Exercises, Axler 3.A
9 Feb	Kernels and ranges	Axler, 3.B (discussion)
16 Feb	Kernels and ranges	Exercises, Axler 3.B
22 March	Isomorphisms and inverses	Axler, 3.D (discussion)
29 March	--- Bank holiday ---
5 April	Isomorphisms and inverses	Exercises, Axler 3.D
12 April	More isomorphisms
19 April	Quotient spaces	Axler, 3.E (discussion)
26 April	Quotient spaces	Exercises from Axler 3.E

Overall plan:

• Follow Axler (by subchapter) until we feel comfortable moving to applications, then move between books.
• Use Slack channel for collaborative working between meetings.
• Go over exercises and points of confusion together in meetings, as people want, in the shared Overleaf.

Expectations

• Very different backgrounds and interests in this group
• Want everyone to be comfortable: rather be too slow than too fast.
• We should only use the maths and terminology we know so far.
• We don't expect to learn new maths in the session -- it's a chance to try out what we've read.
• Meta-goal is to learn how to “speak maths,” and to explain maths to others, without feeling overwhelmed.

Reading material

• Linear Algebra Done Right (Axler)
• Mathematics for Machine Learning

Links

• Overleaf, for writing in the sessions: See the Slack channel bookmarks.