Problem (i) Let M, A, B be n x n matrices over C. Assume that [M, A] = 0n, [M, B] = 0,. Calculate the commutator [M ® In + In ® M, AO B]. (ii) Let A, B be n x n matrices over C. Calculate the commutator [A ® In + In ® A, B O B]. Assume that [A, B] = 0n. (iii) Find the commutator [A®B+B® A, A A – B® B]. Simplify the result for [A, B] = 0n. Simplify the result for A? Simplify the result for A? = B² = In. B2 = 0n. %3D

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