Calculate B^(10) when B=((1,−1),(1,1))

imchasou 2022-09-19 Answered
Calculate B 10 when
B = ( 1 1 1 1 )
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Answers (2)

Dillon Levy
Answered 2022-09-20 Author has 12 answers
I would use the fact that
B = 2 [ cos ( π 4 ) sin ( π 4 ) sin ( π 4 ) cos ( π 4 ) ] ,
and that therefore
( n N ) : B n = 2 n / 2 [ cos ( n π 4 ) sin ( n π 4 ) sin ( n π 4 ) cos ( n π 4 ) ] .

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Valentina Holland
Answered 2022-09-21 Author has 5 answers
B 2 = 2 A , A 2 = I B 100 = ( B 2 ) 50 = ( 2 A ) 50 = 2 50 A 50 = 2 50 ( A 2 ) 25 = 2 50 ( I ) 25 = 2 50 I

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