Question: The eigenvalues for the symmetric matrix A are given. Find the matrices D and P of an orthogonal diagonalization of A . (Enter your answer

The eigenvalues for the symmetric matrixAare given. Find the matricesDandPof an orthogonal diagonalization ofA. (Enter your answer as one augmented matrix. Entersqrt(n)for

n

.)

A=

012
111
210

,?=?2, 0,3

The eigenvalues for the symmetric matrix A are
X [(-1/2)*sqrt(2), (1/6)*sqrt(6), (1/3)*sqrt(3), -2, 0, 0; 0, (-1/3)*sqrt(6), (1/3)*sqrt(3), 0, 0, 0; (1/2)*sqrt(2), (1/6)*sqrt(6), (1/3)*sqrt(3), 0, 0, 6] Check Score Hide Answer Show Solution Try Another The eigenvalues for the symmetric matrix A are given. Find the matrices D and P of an orthogonal diagonalization of A. (Enter your answer as one augmented matrix. Enter sqrt(n) for vn.) 0 1 2 A = 1 1 1 , 1 = -2, 0, 3 210 [P D] = X Submit

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