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Use the matrices P and D to construct a spectral decomposition of A = PDP 2 د | - - WN 3 3 74 -4 13 00 2 A= 4 5 РЕГu, u2 ч. 1- حاد D= WlN 0 0 3 3 3 -4 0 9 0 0 1 2 WN WN داده 3 T T T A spectral decomposition of A is A= ()u, u.1+(uu+ (Ouzu5where u, u = 0, uzu! = , and uzu) = 0. OOu u, = = A = (Simplify your answers.)

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are 8, - 1, and 1. 3 3 2 A= 3 2 3 2 3 3 Enter the matrices P and D below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)