Obtain a spectral decomposition for the symmetric matrix A = [0 2 2, 2 0 2,...

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Obtain a spectral decomposition for the symmetric matrix A = [02 2, 2 0 2, 2 2 0] (that means the first row is 022, then belowthat 202, etc.) , whose characteristic polynomial is ?(? + 2)^2 (?? 4)

If you could provide a step-by-step way to solve this I'dgreatly appreciate it.

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