Which in Chapter 6 you are currently studying
Several mathematics graduates have compiled complete LaTeX solutions of Herstein's book as open-source portfolio projects. These are often cleaner and easier to read than handwritten scans.
Solutions must clearly state what basis is being used when translating a transformation into a matrix representation herstein topics in algebra solutions chapter 6 pdf
Offers detailed solutions to several Herstein sections, often including in-depth explorations of the exercises.
Several incomplete, community-driven solutions exist. The most famous is the unauthorized compiled by students and professors over decades. However, a complete, official solution manual for Herstein was never widely published by Wiley (the publisher). The PDFs circulating on academic file-sharing sites (such as Academia.edu, Scribd, or university servers) are usually one of three things: Which in Chapter 6 you are currently studying
The bridge between transformations and matrix representations.
Bridging the gap between vector spaces and module theory over general rings. Several incomplete, community-driven solutions exist
Discussing Jordan forms and diagonalizability.
Create your own solution manual as you go. Type your solutions in LaTeX. Not only will you understand the material better, but you will contribute a legal, helpful resource to future students—without needing to search for a shady PDF.
The problems in this chapter are not computational drills. They ask you to prove, for instance, that the set of all real-valued functions on ([0,1]) is an infinite-dimensional vector space, or to show that any two bases of a vector space have the same cardinality without assuming finite dimensionality.