Quadric surface question, given 3x3 matrix A and (x^T)Ax=6

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imsleepy
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this is my working out:

http://i.imgur.com/1hsQS.jpg

i sort of figured out how to do this a few mins ago lol. it doesn't seem too hard.
it's sort of like... multiplying the first number in the matrix A by it's position in the matrix (x1 * x1) which is basically the coordinates of the value, then doing that for all numbers in the matrix A.

am i right? have i fully answered the question?

edit: in my working out, the xTAx = sigma sigma axx was taken from my course manual.
 
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awesome, thank you :)