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Question

If 3A=122212x2y, and AA=I, then xy= ...................

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Solution

3A=122212x2y, and AA=I
(3A)(3A)=9I
122212x2y12x21222y=900090009
comparing terms with variables x and y
x+2y=4 and xy=1
solving above equations gives x=2 and y=1
xy=3

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