This note
covers systems of linear equations, Row reduction and echelon form, Vector
equations, The matrix equation, Homogeneous and nonhomogeneous systems, Linear
independence, Introduction to linear mappings, Onto, One to one and standard
matrix, Matrix algebra, Invertible matrices, Determinants, Properties of the
determinant, Applications of the determinant, Vector spaces, Linear maps, Linear
independence, Bases and dimension, The rank theorem, Coordinate systems, Change
of basis, Inner products and orthogonality, Eigen values and eigen vectors, The
characteristic polynomial, Diagonalization, Diagonalization of symmetric
matrices, The PageRank algorithm, Discrete dynamical systems.

**Author(s):** Cesar O Aguilar, Suny Geneseo

206**Pages**