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Basis, Zero Subspace and Invariant Suspaces

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This problem is from chapter 6 section 4 of Hoffman and Kunze's book Linear Algebra.
Please see the attached file for the fully formatted problems.

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Solution Summary

Basis, Zero Subspace and Invariant Suspaces are investigated.

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The characteristic equation for operator A is

0 = (1-λ)(2- λ) + 2 = λ^2 -3 λ + 4

It has no ...

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