.. _eigenHints:

Hints for Eigenvalue / Eigenvector Homework Assignment
--------------------------------------------------------

#. a) See the examples near the end of the :ref:`find_eig` page.
      Remember that the eigenvectors are the columns of the ``X`` matrix
      and the eigenvalues are on the diagonal of the ``L`` matrix.

   b) See the example in :ref:`findEigvector`. Remember that there are two
      characteristic equations -- one for each eigenvalue.

   c) See the example in :ref:`findEigvector`. For each eigenpair, just do the
      multiplications :math:`\mathbf{A}\,\bm{x}_i` and 
      :math:`\lambda_i\,\bm{x}_i`. Verify that the products are the same for
      each eigenpair.

#. See :ref:`eigroots` for an example