1.4.2. Hints for Eigenvalue / Eigenvector Homework Assignment

    1. See the examples near the end of the Finding Eigenvalues and Eigenvectors page. Remember that the eigenvectors are the columns of the X matrix and the eigenvalues are on the diagonal of the L matrix.
    2. See the example in Finding Eigenvectors. Remember that there are two characteristic equations – one for each eigenvalue.
    3. See the example in Finding Eigenvectors. For each eigenpair, just do the multiplications \mathbf{A}\,\bm{x}_i and \lambda_i\,\bm{x}_i. Verify that the products are the same for each eigenpair.
  2. See Roots of a Polynomial by Eigenvalues for an example