For the symmetric matrix 1 2 21 A = 200 (2 0 2/ find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13 +312 +6A-8, and one of its roots is 1. D= P=

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