If A = [ a b b a ] and A 2 = [ α β β α ] , then Options: A . &nbspα=a2+b2,β=ab B . &nbspα=a2+b2,β=2ab C . &nbspα=a2+b2,β=a2−b2 D . &nbspα=2ab,β=a2+b2

Answer: Option B : B A 2 = [ α β β α ] = [ a b b a ] [ a b b a ] ; α = α 2 + b 2 ; β = 2 a b

If A=[abba] and A2=[αββα], then

Question

A = [\begin{matrix} a & b b & a \end{matrix}]

and

A^{2} = [\begin{matrix} α & β β & α \end{matrix}]

, then

Options:

A . α=a2+b2,β=ab

B . α=a2+b2,β=2ab

C . α=a2+b2,β=a2−b2

D . α=2ab,β=a2+b2

Answer: Option B
:
B

A^{2} = [\begin{matrix} α & β β & α \end{matrix}] = [\begin{matrix} a & b b & a \end{matrix}] [\begin{matrix} a & b b & a \end{matrix}]; α = α^{2} + b^{2}; β = 2 a b

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