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Mathematics-Online course: Linear Algebra - Normal Forms - Diagonalisation

Normal Matrices

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A matrix $ A \in \mathbb{C}^{n \times n}$ is called normal if

$\displaystyle A A^\ast= A^\ast A\,, $

where $ \bar{A}^{\operatorname t}=A^\ast$. In particular, unitary and Hermitian matrices are normal.

For real normal matrices we have $ AA^{\operatorname t}= A^{\operatorname t}A$. In particular, orthogonal and symmetric matrices satisfy this equation.

(Authors: App/Burkhardt/Höllig/Kimmerle)
(temporary unavailable)
  automatically generated 4/21/2005