In I.N. Herstein's classic text Topics in Algebra transitions into Linear Transformations

Chapter 6 serves as a deep dive into the algebraic structures behind linear maps. Major sections include:

: Understanding the structure of the set of all linear transformations. Characteristic Roots : Finding eigenvalues and eigenvectors.

To effectively search for or verify solutions, it helps to understand the landscape of Chapter 6. In most editions of Topics in Algebra , this chapter covers and acts as the gateway to Galois Theory.