MATH 2450 - Linear Algebra

(3) Credit Hours
Prerequisite: MATH 2200
Upon successful completion of the Linear Algebra I course, the students should be able to: (1) Perform computations involving vectors, matrices and systems of linear equations, both by-hand and using appropriate technology; (2) Identify real-world applications which can be modeled using systems of linear equations, and develop linear models for these problems (e.g., linear regression models for statistics problems); (3) Use appropriate technology to solve large-scale systems of linear equations; (4) State the rules (axioms) which vector spaces/subspaces must obey, and check whether a given nonempty set of objects is a vector space/subspace; (5) Recognize linear transformations from one vector space into another vector space and identify special sets of vectors including the kernel and the range; and (6) Determine eigenvector and eigenvalue pairs, and use them to analyze problems (e.g., the long-term behavior of a dynamical system).