Linear Algebra Done Right · Problem 8B.1

Operators on Complex Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · generalized-eigenspaces

Problem

Define T∈L(C2)T \in \mathcal{L}(\mathbf{C}^2) by T(w,z)=(−z,w)T(w, z) = (-z, w). Find the generalized eigenspaces corresponding to the distinct eigenvalues of TT.

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