## MATH 2318 - LINEAR ALGEBRA

Introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance, representing and solving systems of linear equations using multiple methods including Gaussian elimination and matrix inversion, matrices, determinants, linear transformations, quadratic forms, eigenvalues and eigenvector, and applications in science and engineering.

Upon completion, students will be able to:

• Be able to solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
• Be able to carry out matrix operations, including inverses and determinants.
• Demonstrate understanding of the concepts of vector space and subspace.
• Demonstrate understanding of linear independence, span, and basis.
• Be able to determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
• Apply principles of matrix algebra to linear transformations.
• Demonstrate application of inner products and associated norms.