(maxima.info)eigen

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23.1.4 eigen
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The package 'eigen' contains several functions devoted to the symbolic
computation of eigenvalues and eigenvectors.  Maxima loads the package
automatically if one of the functions 'eigenvalues' or 'eigenvectors' is
invoked.  The package may be loaded explicitly as 'load ("eigen")'.

   'demo ("eigen")' displays a demonstration of the capabilities of this
package.  'batch ("eigen")' executes the same demonstration, but without
the user prompt between successive computations.

   The functions in the 'eigen' package are:
'innerproduct', 'unitvector', 'columnvector', 'gramschmidt',
'eigenvalues',
'eigenvectors', 'uniteigenvectors', and 'similaritytransform'.