MAT 245 - Linear Algebra
4 credit hours
MAT 245 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. Some applications of physics, engineering, and economics are given. Prerequisite: a grade of “C” or higher in MAT 241
Books:
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Larson/Edwards/Falvo. Elementary Linear Algebra, 5th edition. |
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.