T. Alden Gassert
Department of Mathematics
University of Colorado Boulder
Department of Mathematics
Box 395
Boulder, CO 80309
Office: Math 223
Email: thomas.gassert at colorado.edu
Teaching
- Spring 2015
Linear algebra (CU Math 3130)
Text: David Lay's
Linear Algebra and its Applications
4th Ed. Pearson, 2012.
Syllabus
Class notes
Systems of linear equations
Gauss-Jordan elimination
Solutions to linear systems
Linear transformations
Linear transformations of the plane
Products of matrices
Matrix inverse and transpose
Image and kernel of linear transformations
Bases and linear independence
Bases for column and null spaces
Coordinates
Vector spaces
Linear transformations of vector spaces
Matrix for a linear transformation
Gram-Schmidt orthonormalization
Determinants
Properties of determinants
Eigenvalues
Eigenvectors
Diagonalization
Complex eigenvalues
Practice mastery exams
Practice exam 1
Practice exam 2
Practice exam 3
Practice exam 4