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[tex] H_0 = x^2 + y^2 + 2axy [/tex]

How does one go about finding the bounds on x and y, based on a? The author of a book I'm reading says that bounds are simple to show based on the different conditions |a|<1, |a|>1, or |a|=1. Unfortunately, I'm not finding it so simple, except for the |a|=1 case. Could someone at least point me in the right direction?

Thanks

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# Boundedness of a Quadratic Form

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