- Section 1.2 (Vector Spaces)
- Section 1.3 (Subpaces)
- Section 1.4 (Linear Combinations and Systems of Linear Equations)
- Section 1.5 (Linear Dependence and Linear Independence)
- Section 1.6 (Bases and Dimension)
- Section 2.1 (Linear Transformations, Null Spaces and Ranges) (updated 09.29.14)
- Section 2.2 (The Matrix Representation of a Linear Transformations) (complete)
- Section 2.3 (Composition of Linear Transformations and Matrix Multiplication)
- Section 2.4 (Invertibility and Isomorphisms)
- Section 2.5 (The Change of Coordinate Matrix) (updated)
- Section 3.1 (Elementary Matrix Operations and Elementary Matrices)
- Section 3.2 (The Rank of a Matrix and Matrix Inverses)
- Section 3.3 (Systems of Linear Equations – Theoretical Aspects) (complete)
- Section 3.4 (Systems of Linear Equations – Computational Aspects)
- Chapter 4 (Determinants) (missing page added)
- Section 5.1 (Eigenvalues and Eigenvectors) (updated 11.25.14)
- Section 5.2 (Diagonalizability) (updated 12.05.14)
Last update made December 1, 2014 10:00pm.