## 3x3 Unitary to Magic Matrix Transformations

**Authors:** Philip Gibbs

We prove that any 3x3 unitary matrix can be transformed to a magic matrix by multiplying its rows
and columns by phase factors. A magic matrix is defined as one for which the sum of the elements in any row
or column add to the same value. This result is relevant to recent observations on particle mixing matrices.

**Comments:** 5 pages

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### Submission history

[v1] 9 Jul 2009

[v2] 10 Jul 2009

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