Examples of solving 3 by 3 systems by Gaussian Elimination and by
Gauss-Jordan Elimination: RowReduction.pdf
A summary of definitions and theorems regarding inverses, and determinants: InversesAndDeterminants.pdf
A helpful summary of MATLAB commands for vectors and matrices: MATLABcommands.pdf
Vector Spaces
Vector Spaces and Subspaces (Sections 4.1 - 4.3 in text):
VectorSpacesSubspaces.pdf
Linear Combinations, Span, Linear Independence, Basis and
Dimension (Sections 4.4 - 4.6 in text):
SpanIndependenceBasis.pdf
Rank, Nullity, Row Space, Column Space, Change of Basis
(Section 4.7): RankandNullity.pdf
Change of Basis (Section 4.8 in text):
ChangeOfBasis.pdf
Eigenvalues, Eigenvectors, Diagonalization
Eigenvalues and Eigenvectors Part 1:
Eig.pdf
Eigenvalues and Eigenvectors Part 2:Eig-part2.pdf
Similar Matrices and Diagonalization:
Sim-Diag.pdf
Differential Equations: Introduction to
Differential Equations
Matrix Differential Equations