Welcome to Wasin So's MATH 129B Page

Title

Linear Algebra II

Objective

To familiarize students with the language of vector spaces and linear maps, and to lead students to a deeper understanding of the structure of linear maps on vector spaces.

Textbook

Linear Algebra Done Right by Sheldon Axler

Content

Linear Algebra is the study of linear maps on finite dimensional vector spaces. While Linear Algebra I (Math129A) focuses on vectors and matrices. Linear Algebra II (Math129B) emphases abstract vector spaces and linear maps. A central goal is to understand the structure of linear maps on vector spaces, namely the Jordan Decomposition Theorem; and the structure of linear maps on inner product spaces, namely the Spectral Decomposition Theorem.

Topics

Complex Numbers
Abstract Vector Spaces
Finite Dimensional Vector Spaces
Linear Maps
Eigenvalues and Eigenvectors
Jordan Decomposition Theorem
Inner Product Space
Spectral Decomposition Theorem

Semester Taught and Grade Distribution

Semester A B C D F
Fall 2001 23.8% 23.8% 4.7% 14.3% 33.4%