Unformatted text preview: 10 âˆ’ Î» = âˆ’ ( Î» 3 + 16 Î» 2 + 48 Î» + 4) which has no obvious factorization (in fact, it has no integer zeroes). Thus we can determine that the form is negative deFnite far more easily than we can calculate its weighted squares expression. Combining the analysis in Proposition 3.9.6 and Corollary 3.9.7 with Proposition 3.8.3 and Lemma 3.8.4 , we can get the threevariable analogue of the Second Derivative Test which we obtained for two variables in Theorem 3.8.6 :...
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 Spring '08
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 Calculus, Determinant, Mathematical analysis, Characteristic polynomial

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