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OER - Western CT Linear Algebra
Charles F. Rocca Jr.
Contents
Index
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Contents
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Front Matter
Colophon
Introduction
1
Linear Systems
Solving Linear Systems
An Introduction to Vectors
Another Look at Systems
CAS - Systems of Equations
Supplementary Material
Exercises and Practice Exam on Systems of Equations
2
Vector Spaces
What is a Vector Space
Linear Independence and Bases
Spaces, Systems, Matrices
*CAS - Visualizing Subspaces
*Supplementary Material
*Preview of Algebraic Structures
Exercises and Practice Exam on Systems of Equations
3
Linear Transformations
Isomorphisms and Homomorphisms of Vector Spaces
Matrix Operations
Linear Maps and Matrices
Change of Bases/Coordinates
Orthogonal Projections and Curve Fitting
*CAS - Fitting Data
*Supplementary Material
Homework Exercises on Linear Transformations and Projections
Practice Exam on Linear Transformations and Projections
4
Determinants, Eigenvalues, and Eigenvectors
Determinants and their Geometry
Matrix Equivalence and Similarity
Diagonalizable Matrices, Eigenvalues, and Eigenvectors
*CAS - Visualizing Eigenvectors
*CAS - Modeling with Matrices
*Supplementary Material
Homework
Practice Exam on Determinants and Such
Back Matter
A
GNU Free Documentation License
B
Perspectives
C
A Not So Formal Glossary of Essential Terms
Index
Authored in PreTeXt
Section
1.5
Supplementary Material
ΒΆ
Figure
1.5.1.
Gaussian Elimination
Figure
1.5.2.
Sage and Row Operations
Figure
1.5.3.
Sage and Plots
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