.. highlightlang:: us

.. index:: eig

.. _eig:

eig
===

.. us.tag  eig NOTREADYENGLISH math-lin-alg

:ref:`eig` calculates the eigenvalues and eigenvectors of a square matrix.

.. function::  mVal = eig(m)
    <cvVal, mVec> = eig(m)

.. us.return

**Return Value**

*cvVal* is a complex vector with eigenvalues. *mVec*  is a real or complex matrix
with eigenvectors (arranged column wise).

.. us.params

**Parameters**

.. uparam:: m

   *m* is a real or complex square matrix.

.. us.example

**Example**

::

   * m = [1,2,3;4,5,6;7,8,9]
   * m
       1.0000     2.0000     3.0000 
       4.0000     5.0000     6.0000 
       7.0000     8.0000     9.0000 
   * eig(m)
      16.1168 + 0.0000i 
      -1.1168 + 0.0000i 
      -0.0000 + 0.0000i 
   * <val, vec> = eig(m)
   * val
      16.1168 + 0.0000i 
      -1.1168 + 0.0000i 
      -0.0000 + 0.0000i 
   * vec
       0.2320     0.7858     0.4082 
       0.5253     0.0868    -0.8165 
       0.8187    -0.6123     0.4082 

.. seealso::
   :ref:`overview-mathematic`

:sub:`id-1746190`