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
...	...	...
28 June	Duals	Exercises, Axler 3.F

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.