Question 9 [10 points] The symmetric matrix A below has distinct eigenvalues 3, -9 and 15. Find an orthogonal matrix P and a diagonal matrix D such that PTAP-DUse the square root symbol '' where needed to give an exact value for your answer. A = -1 8 -8 8 5 -2 -8-2 000 P = 000 000 10 000 D= 000 000