The conjugate transpose of an m×n matrix A is the n×m matrix defined by A^H congruent (A^_)^T, where A^T denotes the transpose of the matrix A and A^_ denotes the conjugate matrix. In all common spaces (i.e., separable Hilbert spaces), the conjugate and transpose operations commute, so A^H congruent (A^_)^T = (A^T)^_.
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