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If A=[(a,b),(b,a0] and A^2=[(alpha, beta...

If `A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(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`

A

`alpha = a^(2)+b^(2)beta=2ab`

B

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

C

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

D

`alpha=a^(2)+b^(2), beta=-2ab`

Text Solution

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The correct Answer is:
A
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