T. Alden Gassert
Department of Mathematics and Statistics
 University of Massachusetts Amherst
Contact information:
Lederle Graduate Research Tower
710 N. Pleasant St.
Amherst, MA 01003
Office: 1423D
gassert@math.umass.edu

Spring 2014

Linear algebra (UMass Math 235)

Text: Otto Bretscher's Linear Algebra with Applications (4th ed.) Pearson, 2008.

Syllabus

Class notes

1.1 - Systems of linear equations
1.2 - Gauss-Jordan elimination
1.3 - Solutions to linear systems
2.1 - Linear transformations
2.2 - Linear transformations of the plane
2.3 - Products of matrices
2.4 - Matrix inverse and transpose
3.1 - Image and kernel of linear transformations
3.2 - Bases and linear independence
3.3 - Bases for column and null spaces
3.4 - Coordinates
4.1 - Vector spaces
4.2 - Linear transformations of vector spaces
4.3 - Matrix for a linear transformation
5.1 - Gram-Schmidt orthonormalization
6.1 - Determinants
6.2 - Properties of determinants
7.2 - Eigenvalues
7.3 - Eigenvectors
7.4 - Diagonalization
7.5 - Complex eigenvalues

Review problems

Quiz 2
Quiz 3
Quiz 4
Quiz 5
Quiz 6
Quiz 7
Quiz 8

Last updated May 6, 2014