definition of Hermitian conjugate of complex matrix
Topics
About: matrices space
The table of contents of this article
Starting Context
- The reader knows a definition of complex conjugate of complex matrix.
- The reader knows a definition of transpose of matrix.
Target Context
- The reader will have a definition of Hermitian conjugate of complex matrix.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( M\): \(\in \{\text{ the } m \times n \text{ complex matrices }\}\)
\(*M^*\): \(= \overline{M}^t\), \(\in \{\text{ the } n \times m \text{ complex matrices }\}\)
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Conditions:
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2: Note
Obviously, \(\overline{M}^t = \overline{M^t}\).
