Examples of positive definite, negative definite, etc.,
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above for positive difinite
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a) is said to be Positive Definite if for $i = 1, 2, ..., n$. b) is said to be Negative Definite if for odd $i \in \{ 1, 2, ..., n \}$ and for even $i \in \{ 1, 2, ..., n \}$. c) is said to be Indefinite if $\det (A) = D_n \neq 0$ and neither a) nor b) hold.
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