Conjugate transpose: Difference between revisions

Revision as of 00:10, 8 February 2006

Revision as of 20:06, 15 February 2006

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* [[hermitian matrix|Hermitian]] or self-adjoint if ''A'' = ''A''^*;

* [[skew-Hermitian matrix|skew Hermitian]] if ''A'' = -''A''^*;

* [[normal matrix|normal]] if ''A<sup>*</supsufuckp>A'' = ''AA^*''.

Even if ''A'' is not square, the two matrices ''A^*A'' and ''AA^*'' are both Hermitian and in fact [[positive semi-definite]].