Linear Algebra Done Right · Problem 5D.6

Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · diagonalizable-operators

Problem

Suppose T∈L(F5)T \in \mathcal{L}(\mathbf{F}^5) and dim⁡E(8,T)=4\dim E(8, T) = 4. Prove that T−2IT - 2I or T−6IT - 6I is invertible.

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