Math 213: Elementary Linear Algebra
From MathWiki
Contents
Catalog Information
Title
Elementary Linear Algebra.
(Credit Hours:Lecture Hours:Lab Hours)
(2:2:0)
Offered
F, W, Sp, Su
Prerequisite
Description
Concepts and applications of linear systems, matrices, vectors and vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and eigenvectors.
Desired Learning Outcomes
Minimal learning outcomes
Upon completion of this course, the successful student will be able to:
- Vectors and vector operations
- Lines and planes and their equations
- Systems of linear equations
- Spanning sets and linear independence
- Matrix algebra
- The inverse of a matrix
- Subspaces, basis, dimension, and rank
- Linear transformations
- Eigenvalues and eigenvectors
- Determinants
- Similarity and diagonalization
- Orthogonality, orthogonal complements and projections
- Gram-Schmidt and QR factorization
- Vector spaces and subspaces
- Singular Value Decomposition
Textbooks
Possible textbooks for this course include (but are not limited to):
