2023-12-05 Fran Burstall * notes/M216-notes.tex: reference Q4 on sheet 10 for exercise in the proof of Sylvester's theorem. 2023-12-01 Fran Burstall * notes/M216-notes.tex: Expanded discussion of how to compute diagonalising bases. 2023-11-14 Fran Burstall * notes/M216-notes.tex: add missing (w) to first displayed equation of Lemma 4.9 (thanks, Joel!). 2023-10-26 Fran Burstall * notes/M216-notes.tex: two new examples at the end of Chapter 3 * notes/M216-notes.tex: fix typo (M_A -> Delta_A) on page 36. 2023-10-03 Fran Burstall * notes/M216-notes.tex: update reference to Algebra 1B notes on page 55. 2023-01-20 Fran Burstall * notes/M216-notes.tex: insert missing "what" on page 21. (Thanks, Fin!) 2023-01-06 Fran Burstall * notes/M216-notes.tex: correct typos denotes -> denote on page 2 tell ->tells on page 20. (Thanks, Sam!) 2022-12-30 Fran Burstall * notes/M216-notes.tex: add explanation of Kronecker delta in (5.1). 2022-12-22 Fran Burstall * notes/M216-notes.tex: Correct typo in (4.9): n -> k (thanks, Luke). 2022-12-14 Fran Burstall * notes/M216-notes.tex: Correct matrix in middle of page 42 (thanks, Ethan!). 2022-12-06 Fran Burstall * notes/M216-notes.tex: . -> , at top of page 63 (thanks, Taime!). 2022-12-05 Fran Burstall * notes/M216-notes.tex: add missing comma, page 56 bottom (thanks, Yuki!). 2022-11-21 Fran Burstall * notes/M216-notes.tex: add missing superscript 2 on page 41 (thanks, Jack!). * notes/M216-notes.tex: update references to sheets 8 and 9. 2022-11-18 Fran Burstall * notes/M216-notes.tex: remove out-dated reference to orthogonal complements. 2022-11-14 Fran Burstall * notes/M216-notes.tex: small adjustments to Chapter 6. Add references to exercise sheet 7. * notes/M216-notes.tex: additions and corrections to sections 4.4.2 and 4.4.3. 2022-11-13 Fran Burstall * notes/M216-notes.tex: k -> n on line -3 of page 29 L(V_i)->V_i in part (3) of (4.4). (thanks, Lucas, for both of these). 2022-11-12 Fran Burstall * notes/M216-notes.tex: that that -> that on page 38. 2022-11-10 Fran Burstall * notes/M216-notes.tex: fix typo (phi_i-invariant -> phi-invariant). 2022-11-08 Fran Burstall * notes/M216-notes.tex: more motivation for Jordan decomposition. Add example to the end of section 4.3. Add references to sheet 6. Correct typo: subspace -> subspaces 2022-11-04 Fran Burstall * notes/M216-notes.tex: expand a little on meaning of (4.5). 2022-11-03 Fran Burstall * notes/M216-notes.tex: Add pointers to Exercise sheet 5. 2022-11-01 Fran Burstall * notes/M216-notes.tex: V->\phi, near top of page 29. Rewrite section 4.3.1 Rework section 4.3.2 \in->\im end of (4.1) proof. 2022-10-31 Fran Burstall * notes/M216-notes.tex: errant '.' removed near top of page 33. 2022-10-30 Fran Burstall * notes/M216-notes.tex: correct typos k->k-1 on page 22 x^n -> x^k on page 22 an->any on page 19 x->A in formula (3.6) on page 25 alinear->a linear on page 23 2022-09-23 Fran Burstall * notes/M216-notes.tex: references to Algebra 1A/B updated for 2022/3. * notes/M216-notes.tex: Chapters 3 and 4 rewritten with brand new material. 2021-12-07 Francis Burstall * notes/M216-notes.tex: correct wrong subscript on last page. Correct font of symbol on page 43. 2020-11-27 Fran Burstall * notes/M216-notes.tex: remove errant comma on page 60. 2020-11-13 Fran Burstall * notes/M216-notes.tex (section{Dual spaces}): Expand on first example in section 5.1. 2020-10-15 Fran Burstall * notes/M216-notes.tex: Rephrase the statement of the First Isomorphism Theorem. 2020-09-08 Fran Burstall * notes/M216-notes.tex: add alt-text to graphics. 2020-02-05 Francis Burstall * notes/M216-notes.tex: Improve proof of Riesz Representation Theorem. 2019-11-29 Francis Burstall * notes/M216-notes.tex: Correct typo '+' -> '=' on page 57. 2019-10-31 Francis Burstall * notes/M216-notes.pdf: Rework statement and proof of Thm 5.3. 2019-10-11 Francis Burstall * notes/M216-notes.tex: independent -> independence, line -5 of page 13. 2019-09-26 Francis Burstall * notes/M216-notes.tex: rewrite chapter 6.