**Tasting Linear Algebra**

The mathematical definition of
vector

Matrices and
Linear Algebra (an exposition for secondary school students and laymen)

Row reduction and echelon form

Linear independence,
linear dependence and basis

__Comments__

Linear
algebra and calculus are the languages of quantum mechanics. In this section,
we give you what the rough idea of linear algebra is like to motivate you to
study linear algebra and quantum mechanics in our later sections on them. Some
high school students study a little bit of matrices, but I don¡¯t think that
they can appreciate the real value of matrices until they learn linear algebra,
usually in the second semester of their college freshman year. ¡°Matrices
and Linear Algebra¡± is written so that readers can appreciate the real value of
matrices.