Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b. Given U: M2xn (R) → M2xn(R) as U(M) = AM, express more generally the rank of U in %3D terms of n and the rank of A. Please only answer this question if you are sure it is correct. Thank you so much!

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