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Linear Algebra for Team-Based Inquiry Learning:
2023 Edition PREVIEW
Steven Clontz, Drew Lewis
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Contents
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Front Matter
Colophon
TBIL Resource Library
For Instructors
Video Resources
Slideshows
1
Systems of Linear Equations (LE)
Linear Systems, Vector Equations, and Augmented Matrices (LE1)
Row Reduction of Matrices (LE2)
Counting Solutions for Linear Systems (LE3)
Linear Systems with Infinitely-Many Solutions (LE4)
2
Vector Spaces (VS)
Vector Spaces (VS1)
Linear Combinations (VS2)
Spanning Sets (VS3)
Subspaces (VS4)
Linear Independence (VS5)
Identifying a Basis (VS6)
Subspace Basis and Dimension (VS7)
Polynomial and Matrix Spaces (VS8)
Homogeneous Linear Systems (VS9)
3
Algebraic Properties of Linear Maps (AT)
Linear Transformations (AT1)
Standard Matrices (AT2)
Image and Kernel (AT3)
Injective and Surjective Linear Maps (AT4)
4
Matrices (MX)
Matrices and Multiplication (MX1)
Row Operations as Matrix Multiplication (MX2)
The Inverse of a Matrix (MX3)
5
Geometric Properties of Linear Maps (GT)
Row Operations and Determinants (GT1)
Computing Determinants (GT2)
Eigenvalues and Characteristic Polynomials (GT3)
Eigenvectors and Eigenspaces (GT4)
Back Matter
A
Applications
Civil Engineering: Trusses and Struts
Computer Science: PageRank
Geology: Phases and Components
B
Appendix
Sample Exercises with Solutions
Definitions
Index
Authored in PreTeXt
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Linear Algebra for Team-Based Inquiry Learning:
2023 Edition PREVIEW
Steven Clontz
Department of Mathematics and Statistics
University of South Alabama
sclontz@southalabama.edu
Drew Lewis
Department of Mathematics and Statistics
University of South Alabama
drewlewis@southalabama.edu
Contributing Authors
Jessalyn Bolkema
Department of Mathematics
California State University, Dominguez Hills
jbolkema@csudh.edu
Jeff Ford
Department of Mathematics, Computer Science, and Statistics
Gustavus Adolphus College
jford@gustavus.edu
Sharona Krinsky
Department of Mathematics
California State University, Los Angeles
skrinsk@calstatela.edu
Jennifer Nordstrom
Department of Mathematics
Linfield University
jnordstrom@linfield.edu
Kate Owens
Department of Mathematics
College of Charleston
owensks@cofc.edu
December 9, 2022
Colophon
TBIL Resource Library
For Instructors
Video Resources
Slideshows