## 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

**Download:** **PDF**

### Submission history

[v1] 9 Jul 2009

[v2] 10 Jul 2009

**Unique-IP document downloads:** 1551 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*