Diagonalize the quadratic forms in Exercises 3540 by finding an orthogonal matrix Q such

Chapter 5, Problem 5.5.30

(choose chapter or problem)

Diagonalize the quadratic forms in Exercises 3540 by finding an orthogonal matrix Q such that the change of variable x Qy transforms the given form into one with no cross-product terms. Give Q and the new quadratic form.

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