Linear Algebra: Core Topics for the Second Course

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.

Readership: Undergraduate students taking a second course in linear algebra.