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matrix_conjugate_transpose [2013/09/17 23:37] nikolaj old revision restored (2013/09/17 23:33) |
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| ===== Matrix conjugate transpose ===== | ===== Matrix conjugate transpose ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $n,k\in\mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $n,k\in\mathbb N$ | |
| - | | @#FFBB00: $ {\cdot}^{\ \mathrm{*}}: \mathrm{Matrix}(n,k,\mathbb C) \to \mathrm{Matrix}(k,n,\mathbb C) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ {\cdot}^*: \mathrm{Matrix}(n,k,\mathbb C) \to \mathrm{Matrix}(k,n,\mathbb C) $ | |
| - | | @#55EE55: $ (A^\mathrm{*})_{ij}=\overline{A_{ji}} $ | | + | | @#55EE55: postulate | @#55EE55: $ (A^*)_{ij}=\overline{A_{ji}} $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
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| Wikipedia: [[http://en.wikipedia.org/wiki/Conjugate_transpose|Conjugate transpose]] | Wikipedia: [[http://en.wikipedia.org/wiki/Conjugate_transpose|Conjugate transpose]] | ||
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Requirements === | + | === Context === |
| - | [[Matrix]], [[Complex conjugate of a complex number]] | + | [[Matrix]] |
