Grade 12Algebra
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 ?
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 ?
1 Answer
Arun
for (AB)2 = ABAB= AA2BB=A3B2
Similarly (AB)3=A7B3
(AB)4=A15B4
Now (AB)10=A1023B10
Hope it helps
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