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Built-in
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Symbol
MatrixQ
PositiveDefiniteMatrixQ
ConjugateTranspose
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Matrices and Linear Algebra
New in 6.0: Matrix & Linear Algebra Functions
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HermitianMatrixQ
HermitianMatrixQ
[
m
]
tests whether
m
is a Hermitian matrix.
MORE INFORMATION
HermitianMatrixQ
[
m
]
gives
True
if
m
is explicitly Hermitian, and gives
False
if it is a matrix that is not Hermitian.
HermitianMatrixQ
[
m
]
is effectively equivalent to
m
ConjugateTranspose
[
m
]
.
HermitianMatrixQ
works with
SparseArray
objects.
HermitianMatrixQ
works for symbolic as well as numerical matrices.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Test if a matrix is explicitly Hermitian:
In[1]:=
Out[1]=
For a real matrix, this is equivalent to symmetry:
In[2]:=
Out[2]=
Scope
(1)
Generalizations & Extensions
(1)
Applications
(1)
Properties & Relations
(2)
SEE ALSO
MatrixQ
PositiveDefiniteMatrixQ
ConjugateTranspose
MORE ABOUT
Matrices and Linear Algebra
New in 6.0: Matrix & Linear Algebra Functions
New in 6
© 2008 Wolfram Research, Inc.
ConjugateTranspose[m].
EXAMPLES
Basic Examples 
Scope 