This is a book for the second course in linear algebra whereby
students are assumed to be familiar with calculations using real
matrices. To facilitate a smooth transition into rigorous proofs,
it combines abstract theory with matrix calculations.This book
presents numerous examples and proofs of particular cases of
important results before the general versions are formulated and
proved. The knowledge gained from a particular case, that
encapsulates the main idea of a general theorem, can be easily
extended to prove another particular case or a general case. For
some theorems, there are two or even three proofs provided. In this
way, students stand to gain and study important results from
different angles and, at the same time, see connections between
different results presented in the book.
General
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