Title: Linear Algebra
Description: Finite dimensional vector spaces, linear maps, dual spaces, bilinear functions, inner products. Additional topics such as canonical forms, multilinear algebra, numerical linear algebra.
Prerequisite: C or higher in MAT 211 or 305 or 308 or AMS 210; C or higher in MAT 200 or MAT 250 or permission of instructor
Credits: 4
Textbook:
- Linear Algebra Done Right (3rd edition) by Sheldon Axler
Major Topics Covered:
- Matrices and Operations on Matrices
- Determinants of Matrices
- Vector Spaces and Subspaces
- Linear Transformations and Linear Operators
- Kernels and Images
- Basis for Vector Space and the Dimension of a Vector Space
- Eigenvalues, Eigenvectors and the Diagonalization of Linear Operators
- the Cayley-Hamilton Theorem
- Inner Product Spaces
- Selfadjoint Operators, Normal Operators, and Orthogonal Operators
- the Spectral Theorem
Undergraduate Bulletin Course Information
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