Topic: Similarity and Change of Basis for Operators

Why Matching Invariants Do Not Prove Similarity

Why Basis Changes Conjugate Operator Matrices

Transition Matrices and Coordinate Direction

Similarity as an Equivalence Relation

Ruling Out Similarity with Invariants

Rank, Determinant, and Trace Under Similarity

Projection Matrices in Bases Adapted to Their Image

Powers and Polynomials Under Similarity

One Operator, Different Matrices

Finding a Similarity Matrix by Solving AP = PB