San Antonio, Texas

Spring 2021 - Linear Algebra

Resources

Handouts
 
 
 

Lectures
Linear Systems and Matrices
Echelon Forms
Vectors
Matrix-Vector Multiplication
Applications
Linear Independence
Subspaces, Bases and Dimension
Linear Transformations
Linear Transformations (Cont.)
Matrix Algebra
Matrix Inversion
Elementary Matrices
The Invertible Matrix Theorem
Intro. to Determinants
Existence and Uniqueness
of Determinants
Computing Determinants
Cramer's Rule
Vector Spaces
Subspaces
Linear Independence and Bases
Bases, Dimension & Coordinates
Linear Transformations
The Matrix of a Linear Transformation
Computing with Coordinates
The Rank Theorem
Change of Basis
Change of Basis (Cont.)
Eigenvalues and Eigenvectors
Diagonalizability
Diagonalizability (Cont.)

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