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. PGCC Bookstore ISBN-13: 9780618783762 |

**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.

Prince George's Community College, 301 Largo Rd., Largo, Maryland 20774-2199 USA