Linear Algebra Done Right · Problem 8B.15

Operators on Complex Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · characteristic-polynomial-minimal-polynomial

Problem

Let TT be the operator on C4\mathbf{C}^4 defined by T(z1,z2,z3,z4)=(0,z1,z2,z3)T(z_1, z_2, z_3, z_4) = (0, z_1, z_2, z_3). Find the characteristic polynomial and the minimal polynomial of TT.

Related theory

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