Question: Please help with this question 6. Let V be a finite dimensional vector space over a field F, and let R, T E C(V). Suppose

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6. Let V be a finite dimensional vector space over a field F, and let R, T E C(V). Suppose that SE C(V) is invertible, and that T = SRS-1. Let Kx (T) denote the A-generalized eigensapce of T; and Kx (R) the 1-generalized eigensapce of R. 6(b) Prove that dim Kx (T) = dim Kx(R). [4 marks]

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