Question: Please help with this question. Let T : R3 -> R3 be a linear operator such that every subspace of R3 is T-invariant and let

Please help with this question.

Let T : R3 -> R3 be a linear operator such that every subspace of R3 is T-invariant and let B be a basis for R3. Prove that there exists a real number c such that C 0 0 ]B = 0 C 0 C

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