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

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 -

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

Options:

A .

α = a^{2} + b^{2}, β = a b

B .

α = a^{2} + b^{2}, β = 2 a b

C .

α = a^{2} + b^{2}, β = a^{2} - b^{2}

D .

α = 2 a b, β = a^{2} + b^{2}

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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