This course has two goals: (1) to introduce you to Linear Algebra and (2) to introduce you abstract mathematics.

Linear algebra is the study of vector spaces and linear transfomations. A vector space is a structure that abstracts
and generalizes familiar objects from geometry and algebra. A linear transformation is a function between two vector
spaces that preserves the structure.

Linear algebra is one of the most powerful mathematical tools used widely throught science and mathematics.
This is one of my favorite subjects and I hope that you will like it too! I hope the following quote will inspire you
to participate in this course.

"Mathematics is not for spectators; in order to gain in understanding, confidence, and enthusiasm one has to participate."
M.A. Armstrong