If A=[\table a,x;y,a] and if xy=1, then det(AA^T) is equal to

KEAM 2012 Math Paper

Question : 54 of 120

Marks: +1, -0

If A=[

a	x
y	a

] and if xy=1, then det(AAT) is equal to

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a2+x2	ay+ax
ay+ax	y2+a2

a2+x2	ay+ax
ay+ax	y2+a2