Let e be the direct sum. (i) Let A, B, H be n x n matrices such that [H, A] = 0n, [H, B] = 0n. Show that %3D %3D [H In + In © H, AO B] = 02n. (ii) Let A1, A2 be m x m matrices over C. Let B1, B2 be n x n matrices over C. Show that [A1 © B1, A2 © B2] = ([A1, A2]) © ([B1, B2])

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