Linear Algebra Done Right · Problem 5

Operators on Real Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · jordan-basis

Problem

Suppose T∈L(C2)T \in \mathcal{L}(\mathbf{C}^2) is the operator defined by T(w,z)=(−w−z,9w+5z)T(w, z) = (-w - z, 9w + 5z). Find a Jordan basis for TT.

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