Matrix/Hermitian/Definition
Hermitian matrix
A complex square matrix
M
=
(
a
i
j
)
i
j
{\displaystyle {}M={\left(a_{ij}\right)}_{ij}\,}
is called
Hermitian
, if
a
i
j
=
a
j
i
¯
{\displaystyle {}a_{ij}={\overline {a_{ji}}}\,}
holds for all
i
,
j
{\displaystyle {}i,j}
.