"unitary diagonalization"(?)

Dec 2009
1,506
434
Russia
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!)
 
Oct 2009
4,261
1,836
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