Question: Can anyone help me with this? 6. Let V be a finite dimensional vector space over a field F, and let R, Te C(V). Suppose

Can anyone help me with this?

6. Let V be a finite dimensional vector space over a field F, and let R, Te C(V). Suppose that Se C(V) is invertible, and that T = SRS-1. Let Kx(7) denote the A-generalized eigensapce of T; and Kx(R) the A-generalized eigensapce of R. 6(a) Prove that x 6 Kx (7) if and only if Sxe Kx(R). [4 marks]

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