A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra. "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ? It's also extremely well-written and logical, with short and elegant proofs. ? The exercises are very good, and are a mixture of proof questions and concrete examples. The book ends with a few applications to analysis ? and a brief summary of what is needed to extend this theory to Hilbert spaces.