# Linear Algebra

## General

MATH

312

### College/School

College of Science and Engineering

### Description

Matrices, matrix operations, systems of linear equations, determinants, geometry of R-n, vector spaces, subspaces, linear transformations, inner products, eigenvalues.

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## Learning Outcomes

### Outcome

Perform elementary row operations on matrices; determine and analyze solutions of a system of linear equations.

### Outcome

Perform matrix arithmetic, calculate determinants, and determine inverses to given matrices.

### Outcome

Identify Euclidean spaces and subspaces and other vector spaces.

### Outcome

Identify spans and spanning sets.

### Outcome

Distinguish between linearly dependent and linearly independent sets of vectors.

### Outcome

Identify bases and dimensions of vector spaces.

### Outcome

Calculate characteristic polynomials, eigenvalues and eigenvectors, and diagonalize matrices.

### Outcome

Identify and calculate with orthogonal vectors, orthogonal bases, and orthonormal bases.

### Outcome

Orthogonally diagonalize symmetric matrices.

## Dependencies

### Courses

MATH312 is a completion requirement for:
MATH312 is a prerequisite for:

### Programs

MATH312 is a completion requirement for: