Linear Algebra - MAT223 Workbook

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