Math Homepage

Course Listings

MAT 2450 - Linear Algebra
4 credit hours

MAT 2450 presents the basic theory of systems of linear equations, matrix algebra, and linear transformations on vector spaces. Topics include vectors in two-space, three space and n-space; operations with matrices; linear independence; basis and dimensionality of a vector space; the kernel and image of a linear transformation; and eigenvalues and eigenvectors. Replaces MAT 245. Some applications of physics, engineering, and economics are given.
Prerequisite: a grade of “C” or higher in MAT 2410 [formerly MAT 241].

Books:

Larson/Edwards/Falvo. Elementary Linear Algebra, 6th edition. Boston , MA : Houghton Mifflin, 2008. PGCC Bookstore ISBN-13: 9780618783762 Publisher Book ISBN-10: 0618783768 or  ISBN-13: 9780618783762 Publisher eBook ISBN-10:0618783822 or ISBN-13:9780618783823

Outcomes:
Upon successful completion of the course, each student should be able to:

1. Perform basic operations with vectors and matrices.
2. Solve systems of linear equations by matrix methods and using MATLAB software.
3. Identify vector spaces, linear transformations; solve for eigenvalues, eigenvectors, and characteristic polynomials.
4. Apply the methods and theory of Linear Algebra to a variety of application problems.