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.