In first year, I learned that PAP(adsbygoogle = window.adsbygoogle || []).push({}); ^{-1}= D.

Now, I am learning that S^{+}AS = A^{(v)}.

(where the + sign is a dagger)

It seems like both of these operations diagonalizes the matrix A, but doesn't feel like they are the same thing, unless they are the same thing.

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# What is the difference between these two operations?

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