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Linear Algebra for Team-Based Inquiry Learning
Steven Clontz, Drew Lewis
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Front Matter
1
Systems of Linear Equations (E)
Linear Systems, Vector Equations, and Augmented Matrices (E1)
Row Reduction of Matrices (E2)
Solving Linear Systems (E3)
2
Vector Spaces (V)
Vector Spaces (V1)
Linear Combinations (V2)
Spanning Sets (V3)
Subspaces (V4)
Linear Independence (V5)
Identifying a Basis (V6)
Subspace Basis and Dimension (V7)
Polynomial and Matrix Spaces (V8)
Homogeneous Linear Systems (V9)
3
Algebraic Properties of Linear Maps (A)
Linear Transformations (A1)
Standard Matrices (A2)
Image and Kernel (A3)
Injective and Surjective Linear Maps (A4)
4
Matrices (M)
Matrices and Multiplication (M1)
Row Operations as Matrix Multiplication (M2)
The Inverse of a Matrix (M3)
Invertible Matrices (M4)
5
Geometric Properties of Linear Maps (G)
Row Operations and Determinants (G1)
Computing Determinants (G2)
Eigenvalues and Characteristic Polynomials (G3)
Eigenvectors and Eigenspaces (G4)
Authored in PreTeXt
Linear Algebra for Team-Based Inquiry Learning
Steven Clontz
Department of Mathematics and Statistics
University of South Alabama
steven.clontz@gmail.com
Drew Lewis
Department of Mathematics and Statistics
University of South Alabama
drewlewis@southalabama.edu
January 14, 2021