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Section B.2 Definitions

1.1 Linear Systems, Vector Equations, and Augmented Matrices (LE1)

Definition 1.1.2
Definition 1.1.3
Definition 1.1.5
Definition 1.1.7
Definition 1.1.10
Definition 1.1.17

1.2 Row Reduction of Matrices (LE2)

Definition 1.2.2
Definition 1.2.5
Definition 1.2.8

1.4 Linear Systems with Infinitely-Many Solutions (LE4)

Definition 1.4.3

2.1 Linear Combinations (EV1)

Definition 2.1.3
Definition 2.1.4

2.3 Subspaces (EV3)

Definition 2.3.4
Definition 2.3.7

2.4 Linear Independence (EV4)

Definition 2.4.3

2.5 Identifying a Basis (EV5)

Definition 2.5.5
Definition 2.5.9

2.6 Subspace Basis and Dimension (EV6)

Definition 2.6.4
Definition 2.6.9

3.1 Linear Transformations (AT1)

Definition 3.1.3
Definition 3.1.4

3.2 Standard Matrices (AT2)

Definition 3.2.9

3.3 Image and Kernel (AT3)

Definition 3.3.3
Definition 3.3.8

3.4 Injective and Surjective Linear Maps (AT4)

Definition 3.4.2
Definition 3.4.5
Definition 3.4.12

3.5 Vector Spaces (AT5)

Definition 3.5.7

4.1 Matrices and Multiplication (MX1)

Definition 4.1.4

4.2 The Inverse of a Matrix (MX2)

Definition 4.2.3
Definition 4.2.6

5.1 Row Operations and Determinants (GT1)

Definition 5.1.11

5.3 Eigenvalues and Characteristic Polynomials (GT3)

Definition 5.3.5
Definition 5.3.8

5.4 Eigenvectors and Eigenspaces (GT4)

Definition 5.4.3
A.1 Civil Engineering: Trusses and Struts
Definition A.1.1
A.3 Geology: Phases and Components
Definition A.3.1