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Posted: **Fri Jul 08, 2022 5:32 am**

: Problem 11 3 Let A 1 4 2 4 1 2 2 2 2 Find The Eigenvalues Of A And For Each Eigenvalue Find An Orthonormal Basis 1 (38.58 KiB) Viewed 28 times

Problem 11.3 Let A = 1 −4 2 -4 1 -2 -2 -2 2 Find the eigenvalues of A and for each eigenvalue find an orthonormal basis for the corresponding eigenspace. Hence find an orthogonal matrix P such that PT AP = P-¹AP = D. Write down D and check that PT AP = D.