If $$A=a$$ bb a and $$A2=$$α ββ α, then

Correct option is 1α=a2+b2,β=2ab

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If $A = [\begin{array}{ll} a b \\ b a \end{array}]$ and $A^{2} = [\begin{array}{ll} α β \\ β α \end{array}]$ , then

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α=a2+b2,β=2ab

α=a2+b2,β=a2−b2

α=2ab,β=a2+b2

α=a2+b2,β=−2ab

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detailed solution

Correct option is A

A2=a bb aa bb a=a2+b22ab2aba2+b2∴ αββα=a2+b22ab2aba2+b2⇒ α=a2+b2,β=2ab

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If A=a bb a and A2=α ββ α, then

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If $A = [\begin{array}{ll} a b \\ b a \end{array}]$ and $A^{2} = [\begin{array}{ll} α β \\ β α \end{array}]$ , then