If A - begin bmatrix a - b lb - alend bmatrix and A - 2- begin bmatrix lalpha - beta lI Weta - lalphall endbmatrix - thenA- - a 2- b 2- -2 abB- - a 2- b 2- - abC- - a 2- b 2- - a 2- b 2D- -2 ab - - a 2- b 2

The correct option is A α = a^2 + b^2, β = 2ab A^2 = [ α amp; β; β amp; α; ] = [ a amp; b; b amp; a ][ a amp; b; b amp; a ...

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Equality of Matrices

If A = begin ...

Question

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

$α = a^{2} + b^{2}, β = a b$

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$α = a^{2} + b^{2}, β = 2 a b$

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$α = a^{2} + b^{2}, β = a^{2} - b^{2}$

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$α = 2 a b, β = a^{2} + b^{2}$

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

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

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

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

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cos θ + b sin θ = c

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