It can be interesting to add a conjugateTranspose operation in MatrixCategory? RectangularMatrixCategory? and SquareMatrixCategory?. For example conjugateTranspose(a) * a will give a hermitian positive definite matrix. ... --unknown, Thu, 28 Jul 2005 11:34:17 -0500 reply axiom a:=matrix ([[%i,
Type: Matrix(Complex(Integer))
axiom b := map(conjugate,
Type: Matrix(Complex(Integer))
Determinant and eigenvalues of this matrix are always real and positive. For example, axiom determinant(b)
Type: Complex(Integer)
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last edited 16 years ago |
![\label{eq1}\left[
\begin{array}{cc}
i & 7
\
6 &{3 \ i}](images/5140784752452357107-16.0px.png "\label{eq1}\left[
\begin{array}{cc}
i & 7
\
6 &{3 \ i}")
![\label{eq2}\left[
\begin{array}{cc}
{37}&{{11}\ i}
\
-{{11}\ i}&{58}](images/8489444392743464708-16.0px.png "\label{eq2}\left[
\begin{array}{cc}
{37}&{{11}\ i}
\
-{{11}\ i}&{58}")
