MAT 221 - Introduction to Linear Algebra

IAI Number Major: MTH911
3 Credit Hour(s)
3 Lecture Hour(s)
0 Lab Hours(s)
Prerequisite(s): MAT 131 with a grade of C or higher
MAT 221 is an introduction to the theory and application of linear algebra. Topics include: vectors; operations on matrices; matrices; inverse of a matrix; solution of systems of linear equations; rank of a matrix; vector spaces and subspaces; linear dependence and independence; basis and dimension; linear transformations; sums, composites, inverses of linear transformations; range and kernel of a linear transformation; proof; determinants; eigenvalues and eigenvectors; orthogonality and inner product spaces. Emphasis is placed on the application of linear algebra and formal verification of theoretical properties. Applications include polynomial curve fitting, network analysis, stochastic matrices, Leontief Input-Output models, least squares regression analysis, eigenvalue problems, applications in analytic geometry, and least squares approximations. MAT 221 is ordinarily offered in the spring semester in even numbered years.