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Select and write the correct answer from the given alternatives in each of the following:If `A=[[a,b][b,a]]`and `A^2=[[alpha,beta],[beta,alpha]]`,then

A

`alpha=a^2+b^2,beta=ab`

B

`alpha=a^2+b^2,beta=2ab`

C

`alpha=a^2+b^2,beta=a^2-b^2`

D

`alpha=2ab,beta=a^2-b^2`

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