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for 1 ≤ ''i'' ≤ ''n'' and 1 ≤ ''j'' ≤ ''m''.
This is a particular case of the '''[[Hermitian conjugate]]''' (sometimes called [[Hermitian adjoint]] or just '''adjoint''') [[linear operator]].
More generally, if we have a [[linear map]] A from a complex vector space to another, the conjugate transpose of A is the [[complex conjugate linear map|conjugate]] of the [[transpose of a linear map|transpose]] of A.
==Example==
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