University of Michigan - Shanghai Jiao Tong University Joint Institute


Vv 214:  Linear Algebra

General information

Credits: 4 Credits. No credit granted to those who have completed or are enrolled in Vv417.
Prerequisites: none
Background and Goals: An introduction to matrices and linear algebra. This course covers the basics needed to
understand a wide variety of applications that use the ideas of linear algebra, from linear programming to
mathematical economics. The emphasis is on concepts and problem solving.
Content: An introduction to the main concepts of linear algebra: matrix operations, echelon form, solution of
systems of linear equations, Euclidean vector spaces, linear combinations, independence and spans of sets of
vectors in Euclidean space, eigenvectors and eigenvalues, similarity theory. There are applications to discrete
Markov processes, linear programming, and solutions of linear differential equations with constant coefficients.
Alternatives: Vv417