Linear Algebra Done Right · Problem 8B.16

Operators on Complex Vector Spaces — Sheldon Axler

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

Problem

Let TT be the operator on C6\mathbf{C}^6 defined by T(z1,z2,z3,z4,z5,z6)=(0,z1,z2,0,z4,0).T(z_1, z_2, z_3, z_4, z_5, z_6) = (0, z_1, z_2, 0, z_4, 0). Find the characteristic polynomial and the minimal polynomial of TT.

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