ABSTRACT

Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a s

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|56 pages

Normed and Inner Product Spaces

chapter 6|30 pages

Linear Operators on Inner Product Spaces

chapter 7|34 pages

Trace and Determinant of a Linear Operator

chapter 8|52 pages

Bilinear Forms

chapter 9|20 pages

Sesquilinear Forms and Unitary Geometry

chapter 10|56 pages

Tensor Products

chapter 11|62 pages

Linear Groups and Groups of Isometries

chapter 12|48 pages

Additional Topics in Linear Algebra

chapter 13|42 pages

Applications of Linear Algebra