Question: Prove that any quadratic form can be written as where A, are the eigenvalues of A and θi = (x, vi) denotes the angle between

Prove that any quadratic form can be written as

(Σ || > À, cos? 0; Ax = || x'

where A, are the eigenvalues of A and θi = Š€(x, vi) denotes the angle between x and the ith eigenvector.

( || > , cos? 0; Ax = || x'

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