According to Sylvester's Law of Inertia, what three counts remain invariant for a given real quadratic form?
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Positive, negative, and zero eigenvalues
Specifically, it refers to the number of positive, negative, and zero coefficients in the diagonal form of a quadratic form under a change of basis, which classifies the shape of the surface.
Also asked as:
- Which three counts of eigenvalues are invariant for a real quadratic form under Sylvester's Law of Inertia?