Linear algebra nugget of the day. You can classify a 2d quadratic form without finding eigenvalues. Det tells you if the eigenvalues are the same sign and if det is positive, trace tells you which sign. Exercise: what if det is 0?
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Laurens is right. I think Robert Low secretly meant "linear transformation". That's how I read his post - I didn't really notice the phrase "quadratic form".
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I was assuming am inner product space with all the associated identifications. I'm a bad person.
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