MAT 280 Linear Algebra

Lecture: 2 Lab: 2 Clinic: 0 Credits: 3

This course provides an introduction to linear algebra topics. Emphasis is placed on the development of abstract concepts and applications for vectors, systems of equations, matrices, determinants, vector spaces, multi-dimensional linear transformations, eigenvectors, eigenvalues, diagonalization and orthogonality. Upon completion, students should be able to demonstrate understanding of the theoretical concepts and select and use appropriate models and techniques for finding solutions to linear algebra-related problems with and without technology.

This course has been approved for transfer under the CAA as a premajor and/or elective course requirement.

Pre-requisite(s): MAT 271 .
Course is typically offered in Fall.
Course has transfer restrictions - 20 years

Student Learning Outcomes (SLOs)
At the completion of the course, the students should be able to do the following:

Use analytical and graphical representations to apply vector operations in multiple dimensions.
Solve systems of linear equations using multiple manual and technology based methods, including Gaussian and Gauss-Jordan.
Use eigenvalues, eigenvectors, and diagonalization to solve problems in appropriate situations.
Use matrix operations and linear transformations to solve problems.
Demonstrate knowledge of orthogonal projections and orthogonal complements of subspaces, and apply in appropriate situations.
Use the fundamental concept of a basis for a subspace to give a precise definition of dimensions and rank, and solve problems.
Demonstrate proficiency in using technology to solve, analyze, and interpret various applications.