Problem 3. The characteristic polynomial of the symmetric matrix A = ſi 2 2 0] 2 1 2 0 is p(t) = (t-52(t+1). 2 2 1 0 0 0
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Problem 3. The characteristic polynomial of the symmetric matrix A = ſi 2 2 0] 2 1 2 0 is p(t) = (t-52(t+1). 2 2 1 0 0 0
Problem 3. The characteristic polynomial of the symmetric matrix A = ſi 2 2 0] 2 1 2 0 is p(t) = (t-52(t+1). 2 2 1 0 0 0 0 5 (a) Find eigenvectors for each eigenvalue of A. (b) Find an orthonormal basis of R4 consisting of eigenvectors A. (c) Give an orthogonal diagonalization of A.
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