A conjugate matrix is a matrix 
obtained from a given matrix 
by taking the complex conjugate of each element of 
(Courant and Hilbert 1989, p. 9), i.e.,
 |
The notation 
is sometimes also used, which can lead to confusion since this symbol is also used to denote the conjugate transpose.
Using a matrix 
in a similarity transformation 
of a given matrix 
is also known as conjugating 
by 
. In this case, 
and 
are known as similar matrices.
