Linear Algebra for Team-Based Inquiry Learning: Legacy Edition

Section B.2 Definitions

1.1 Linear Systems, Vector Equations, and Augmented Matrices (E1)

1.2 Row Reduction of Matrices (E2)

1.3 Solving Linear Systems (E3)

2.1 Vector Spaces (V1)

2.2 Linear Combinations (V2)

2.4 Subspaces (V4)

2.5 Linear Independence (V5)

2.6 Identifying a Basis (V6)

2.7 Subspace Basis and Dimension (V7)

2.9 Homogeneous Linear Systems (V9)

3.1 Linear Transformations (A1)

3.2 Standard Matrices (A2)

3.3 Image and Kernel (A3)

3.4 Injective and Surjective Linear Maps (A4)

4.1 Matrices and Multiplication (M1)

4.2 Row Operations as Matrix Multiplication (M2)

4.3 The Inverse of a Matrix (M3)

5.1 Row Operations and Determinants (G1)

5.3 Eigenvalues and Characteristic Polynomials (G3)

5.4 Eigenvectors and Eigenspaces (G4)

A.1 Geology: Phases and Components

A.3 Civil Engineering: Trusses and Struts