Linear Algebra - MAT223 Workbook

✍ Scribed by Jason Siefken

• Tongue: English
• Leaves: 274
• Edition: 2021/08/06
• Category: Library

✦ Table of Contents

Lessons
Module 1 – Sets, Vectors & Notation
The Magic Carpet Ride
1
The Magic Carpet Ride, Hide and Seek
2
3
4
5
6
7
8
Module 2 – Sets of Vectors, Lines & Planes
9
10
11
12
13
14
Module 3 – Spans, Translated Spans, and Linear Independence/Dependence
15
16
17
The Magic Carpet Ride, Getting Back Home
18
19
20
21
22
Linear Independence and Dependence, Creating Examples
23
Module 4 – Dot Products & Normal Forms
24
25
26
27
28
29
Module 5 – Projections & Vector Components
30
31
32
33
Module 6 – Subspaces & Bases
34
35
36
Module 7 – Matrix Representations of Systems of Linear Equations
37
38
39
40
Module 8 – Coordinates & Change of Basis I
41
42
43
Module 9 – Linear Transformations
Italicizing N
44
Beyond the N
45
46
47
48
Module 10 – The Composition of Linear Transformations
Pat and Jamie
49
50
Module 11 – Range & Nullspace of a Linear Transformation
51
52
53
54
55
56
57
58
59
60
61
62
Module 12 – Inverse Functions & Inverse Matrices
Getting back N
63
64
65
66
67
68
Module 13 – Change of Basis II
69
70
71
Module 14 – Determinants
72
73
74
75
76
77
78
79
80
81
Module 15 – Eigenvalues and Eigenvectors
The Green and the Black
82
83
84
85
86
87
Module 16 – Diagonalization
88
89
90
91
Appendix 1 – Systems of Linear Equations I
Appendix 2 – Systems of Linear Equations II
Appendix 3 – Matrices & Matrix Operations
Appendix 4 – Formulas for 2×2 and 3×3 Determinants
Appendix 5 – Practice Problem Solutions
Solutions for Module 1
Solutions for Module 2
Solutions for Module 3
Solutions for Module 4
Solutions for Module 5
Solutions for Module 6
Solutions for Module 7
Solutions for Module 8
Solutions for Module 9
Solutions for Module 10
Solutions for Module 11
Solutions for Module 12
Solutions for Module 13
Solutions for Module 14
Solutions for Module 15
Solutions for Module 16
Solutions for Appendix 1
Solutions for Appendix 2
Solutions for Appendix 3
Solutions for Appendix 4
Indices – Indices