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Mathematics-Online course: Linear Algebra - Matrices - Matrix Operations | ||
Transpose of and adjoint Matrix |
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If we, in addition, replace the complex entries of
by their complex conjugates, then
we obtain the so called adjoint matrix
, that is,
A matrix satisfying
is called symmetric. A matrix satisfying
is called self-adjoint or Hermitian.
For real matrices the notions 'hermitian' and 'symmetric'
have the same meaning.
The following rules hold true:
automatically generated 4/21/2005 |