This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. Proofs of all the main theorems are given, with numerical examples, exercises, and applications to geometry, group theory, and differential equations.
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This book is an introduction to linear algebra, designed as a textbook for upper-division courses. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. Proofs of all the main theorems are given, with numerical examples, exercises, and applications to geometry, group theory, and differential equations.
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