Herstein Topics In Algebra | Solutions Chapter 6 Pdf

: Representation of linear transformations as matrices.

Topics in Algebra by I.N. Herstein is widely cherished as a classic, rigorous textbook for undergraduate and early graduate abstract algebra. While its exposition is beautifully written, the exercises are famously challenging. Chapter 6 introduces the deeper geometric and matrix-oriented aspects of linear algebra from an advanced algebraic viewpoint. herstein topics in algebra solutions chapter 6 pdf

Herstein famously asks: For an infinite-dimensional vector space, show that the dual space is not isomorphic to the original space. A proper solution uses the fact that the dual has strictly larger dimension (via cardinality arguments or considering the space of all linear functionals). : Representation of linear transformations as matrices