Linear Algebra Done Right · Problem 7B.5

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · spectral-theorem

Problem

Prove or give a counterexample: If T∈L(C3)T \in \mathcal{L}(\mathbf{C}^3) is a diagonalizable operator, then TT is normal (with respect to the usual inner product).

Related theory

Browse the problem library