proof ch:03-linear-algebra-representations@proof-53

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:5001

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proof : ch:03-linear-algebra-representations@proof-53prooftheorem 5.116: Sylvester's law of inertia5.116definition 5.110: Bilinear map5.110definition 5.111: Symmetric and antisymmetric forms5.111equation 5.139: eq:lin-bilinear-congruence5.139definition 5.117: Signature5.117definition 10.6: Type of a second-order operator10.6proposition 30.30: Stability bounds30.30proposition 5.94: Principal axes of a real quadratic form5.94remark 7.107: What the Hessian is for7.107theorem 5.86: Simultaneous diagonalization of a definite pencil5.86theorem 28.33: Normal modes28.33theorem 10.8: The type is a coordinate invariant10.8

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proves Sylvester's law of inertia declared parts/02-mathematical-methods/03-linear-algebra-representations.tex:5001