Exercise 31.4.3 Prove that (1) C = PPT, where Ps ith column is the eigenvector ui ,

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Exercise 31.4.3 Prove that (1) C = PPT, where P’s ith column is the eigenvector ui , (2) P−1 = diag[ λ

−1 1 , λ

−1 2 , . . . , λ

−1 n ] PT, (3) P [dZ1,dZ2, . . . ,dZn ]T =

[dW1,dW2, . . . ,dWn ]T, and (4) PTP = diag[ λ1, λ2, . . . , λn ].

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