This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications. It is intended for students with various interests in mathematics, as well as established scientists seeking to refresh their basic mathematical culture.The book is also a good introduction to functional analysis and quantum theory since it discusses the general principles of linear algebra without finiteness assumptions.
This book covers the topics typically found in an undergraduate text on linear algebra. What I like about this book, though, is the coverage of applications. These include using eigenvectors to find the nth term in a Fibonacci sequence, estimating population growth, periodic functions, and the mean value theorem from calculus.