From 85f421fca3ee6f452cbf348730d98be81e360c54 Mon Sep 17 00:00:00 2001 From: Alex Clarke Date: Tue, 20 Feb 2024 16:06:34 -0700 Subject: [PATCH] Wrote out chapters 2-4 --- Linear-Algebra-Theorems-and-Definitions.pdf | Bin 206612 -> 344198 bytes Linear-Algebra-Theorems-and-Definitions.tex | 3 + ...ations-and-systems-of-linear-equations.tex | 4 +- ...ear-dependence-and-linear-independence.tex | 18 +- chapter-1/vector-spaces.tex | 2 +- ...nsformations-and-matrix-multiplication.tex | 119 ++++++++++++ chapter-2/dual-spaces.tex | 85 ++++++++ ...l-equations-with-constant-coefficients.tex | 183 ++++++++++++++++++ chapter-2/invertibility-and-isomorphisms.tex | 86 ++++++++ ...transformations-null-spaces-and-ranges.tex | 116 +++++++++++ chapter-2/the-change-of-coordinate-matrix.tex | 39 ++++ ...resentation-of-a-linear-transformation.tex | 66 +++++++ ...rix-operations-and-elementary-matrices.tex | 28 +++ ...linear-equations-computational-aspects.tex | 83 ++++++++ ...f-linear-equations-theoretical-aspects.tex | 127 ++++++++++++ ...e-rank-of-a-matrix-and-matrix-inverses.tex | 87 +++++++++ .../a-characterization-of-the-determinant.tex | 55 ++++++ chapter-4/determinants-of-order-2.tex | 75 +++++++ chapter-4/determinants-of-order-n.tex | 143 +++++++++++++- chapter-4/properties-of-determinants.tex | 103 ++++++++++ ...ary-important-facts-about-determinants.tex | 30 +++ init.sty | 2 +- 22 files changed, 1440 insertions(+), 14 deletions(-) diff --git a/Linear-Algebra-Theorems-and-Definitions.pdf b/Linear-Algebra-Theorems-and-Definitions.pdf index dc6d4dbfb6276150b707f8e17951362c2b41af06..a5b1444f457da6f3287607ba561e6b21aeaf1756 100644 GIT binary patch delta 306906 zcmV)iK%&2t&J2cu6|jm20XLUH>;fr&g^#_C!Y~ko`#i;#jzsp>YsU#C{}Q5fcTo6* zfrt`zM zgLk2<6tS4}NBY&ME}Tnlg-=ajkhFnH)u_jugUhmI5s!Mf@X8scQ7&O( zonl|FFKqD!vqnX@lVJxFvy2FT0RcFdk;wunf9+XIbDTyHzUx^Lh$&6d ze-znA(kRYS8orlJ8^wr`u=;GT7dM4AGFN|ruv#_hnsQ1)tc_|bkS0Kz)K-AC@-fO# zC>Cv1I~(gf0^vgFhXF+>fr? 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