# 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):