For courses in Advanced Linear Algebra This top selling theorem proof text presents a careful treatment of the principle topics of linear algebra and illustrates the power of the subject through a variety of applications It emphasizes the symbiotic relationship between linear transformations and matrices but states theorems in the more general infinite dimensional case where appropriate For courses in Advanced Linear Algebra. This top-selling, theorem-proof text presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional ...case where appropriate.