Conjugate transpose: Difference between revisions

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==Properties of the conjugate transpose==
 
* (''A'' + ''B'')<sup>*</sup> = ''A''<sup>*</sup> + ''B''<sup>*</sup> for any two matrices ''A'' and ''B'' of the same formatdimensions.
* (''rA'')<sup>*</sup> = ''r''<sup>*</sup>''A''<sup>*</sup> for any complex number ''r'' and any matrix ''A''. Here ''r''<sup>*</sup> refers to the complex conjugate of ''r''.
* (''AB'')<sup>*</sup> = ''B''<sup>*</sup>''A''<sup>*</sup> for any ''m''-by-''n'' matrix ''A'' and any ''n''-by-''p'' matrix ''B''. Note that the order of the factors is reversed.