ABSTRACT

Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book first i

chapter 1|46 pages

Vector Spaces

chapter 2|40 pages

Linear Transformations

chapter 3|18 pages

Polynomials

chapter 4|46 pages

Theory of a Single Linear Operator

chapter 5|38 pages

Inner Product Spaces

chapter 6|28 pages

Linear Operators on Inner Product Spaces

chapter 7|32 pages

Trace and Determinant of a Linear Operator

chapter 8|40 pages

Bilinear Maps and Forms

chapter 9|40 pages

Tensor Products