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Maths-

General

Easy

Question

If A = $open square brackets table row a b row b a end table close square brackets$ and A² = $open square brackets table row alpha beta row beta alpha end table close square brackets$ , then

$α$ = 2ab, $β$ = a² + b²
$α$ = a² + b², $β$ = ab
$α$ = a² + b², $β$ = 2ab
$α$ = a² + b² , $β$ = a² – b²

The correct answer is: $alpha$ = a² + b², $beta$ = 2ab

we are given A and $A squared$ and asked to find α and β
$A squared space equals A space A space equals space open square brackets table row a b row b a end table close square brackets open square brackets table row a b row b a end table close square brackets A squared space equals space open square brackets table row cell a squared plus b squared end cell cell a b plus b a end cell row cell b a plus a b end cell cell a squared plus b squared end cell end table close square brackets space equals space open square brackets table row alpha beta row beta alpha end table close square brackets alpha space equals space a to the power of 2 space end exponent plus b squared beta space equals space 2 a b space$

Therefore the correct option is choice 3

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