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Let A and B two square matrices such that(A^2)B =BA. If (AB)^10 =(A^k)(B^10), then k is equal to ?
for (AB)2 = ABAB= AA2BB=A3B2Similarly (AB)3=A7B3(AB)4=A15B4 Now (AB)10=A1023B10 Solution by :- Mr. Sudhir Jainam
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