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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
4.6
*Supplementary Material
ΒΆ
Figure
4.6.1.
Gaussian Elimination
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