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1) Let A = = 1 | and define the linear operator T : M2(R) - M2(R) such that T(X) = AX - XA. a) Let = = {[: : ]. [8 : ]. [8 8 . 8 1 denote the standard basis of MILK ) Find [TE. (b) Find a basis for ker(7) using the special spaces of [T]E. (c) Find a basis for Range(T) using the special spaces of [T]E. (d) Let BE M2(R). Prove that AB = BA if and only if B E ker(T)