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## Homework Statement

Hello,

the problem is asking me to find a unitary matrix U such that (U bar)^T(H)(U) is diagonal. And we have H = [{7,2,0},{2,4,-2},{0,-2,5}]

## The Attempt at a Solution

I don't know where to start. I tried getting the eigenvalues of the matrix A but that lead to very long and complicated equations with 3rd roots which i doubt is the correct way.

Other than that I have no idea what to start off with

Thanks you