linear algebra books

free online textbooks

0. Bravo!
Gilbert Strang's Recent Papers on Teaching Linear Algebra
esp. "Starting with Two Matrices"



1. excellent, clear
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain by Jonathan Richard Shewchuk.

see wikipedia, Conjugate gradient method for sparse matrix



2. With fascinating real-world problems
Linear Algebra by Jim Hefferon

1. Include plenty of motivating examples.
2. Show how to solve real-world problems.
3. Devote plenty of time to proofs.

see wikipedia