I. Contents：
vector spaces, basis, dimensions, linear transformations, matrices, determinants, eigenspaces, eigenvalues, inner product spaces, normal operators, spectral theorem, Jordan canonical forms, rational canonical form.

II. Course prerequisite：
none

III. Reference material ( textbook(s) )：
Linear Algebra (Third Edition) by Stephen Friedberg, Arnold Insel and Lawrence Spence.

IV. Grading scheme：
Midterm and Final.

V. Others：