# Math Help - "unitary diagonalization"(?)

1. ## "unitary diagonalization"(?)

Is every matrix diagnosable, was unitary unitary diagonalization?

I think it's not true... especially over field C, but I can't point on that matrix.

Thank you(again!)

2. Originally Posted by Also sprach Zarathustra
Is every matrix diagnosable, was unitary unitary diagonalization?

I think it's not true... especially over field C, but I can't point on that matrix.

Thank you(again!)

If you meant to ask whether any diagonalizable matrix is unitarily diagonalizable then the answer is no:

Theorem: A square complex matrix is unitarily diagonalizable iff it is normal.

Tonio