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A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in...

`A=[{:(a,b),(b,-a):}]` and `MA=A^(2m)`, `m in N` for some matrix `M`, then which one of the following is correct ?

A

`M=[(a^(2m),b^(2m)),(b^(2m),-a^(2m))]`

B

`M=(a^(2)+b^(2))^(m)[(1,0),(0,1)]`

C

`M=(a^(m)+b^(m))[(1,0),(0,1)]`

D

`M=(a^(2)+b^(2))^(m-1)[(a,b),(b,-a)]`

Text Solution

Verified by Experts

The correct Answer is:
D
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