Consider a quadratic form q(x) = x Ax, where A is a symmetric n x n matrix with

Chapter 8, Problem 27

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Consider a quadratic form q(x) = x Ax, where A is a symmetric n x n matrix with eigenvalues k\ > > > X. Let Sn~l be the set of all unit vectors in Describe the image of Sn~l under q, in terms of the eigenvalues of A.

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