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MishchenkoA (talk | contribs) m →Definition: Nobody calls conjugate transposes "bedaggered matrices". |
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That is, denoting each ''complex'' number ''z'' by the ''real'' 2×2 matrix of the linear transformation on the [[Argand diagram]] (viewed as the ''real'' vector space <math>\mathbb{R}^2</math>), affected by complex ''z''-multiplication on <math>\mathbb{C}</math>.
Thus, an ''m''-by-''n'' matrix of complex numbers could be well represented by a 2''m''-by-2''n'' matrix of real numbers. The conjugate transpose therefore arises very naturally as the result of simply transposing such a matrix—when viewed back again as an ''n''-by-''m'' matrix made up of complex numbers.
==Properties of the conjugate transpose==
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