If $$A = \left[ {\matrix{ a & b \cr b & a \cr } } \right]$ and ${A^2} = \left[ {\matrix{ \alpha & \beta \cr \beta & \alpha \cr } } \right]$$, then

Question

$\alpha = 2ab,\,\beta = {a^2} + {b^2}$

$\alpha = {a^2} + {b^2},\,\beta = ab$

$\alpha = {a^2} + {b^2},\,\beta = 2ab$

$\alpha = {a^2} + {b^2},\,\beta = {a^2} - {b^2}$

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