Conjugate transpose: Difference between revisions

Revision as of 10:15, 9 May 2004

Revision as of 18:21, 30 May 2004

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[[Category:Functional analysis]]

[[Category:Linear algebra]]

In [[mathematics]], the '''conjugate transpose''' or '''adjoint''' of an ''m''-by-''n'' [[matrix (mathematics)|matrix]] ''A'' with [[complex number|complex]] entries is the ''n''-by-''m'' matrix ''A''^* obtained from ''A'' by taking the [[transpose]] and then taking the [[complex conjugate]] of each entry. Formally

:<math>(A^*)[i,j] = \overline{A[j,i]}</math>