1.3.8. Week 11 Attendance Quiz HintsΒΆ

AQ08_1:

  1. See Introduction to Eigenvalues and Eigenvectors. This is true for a rotation matrix; but recall that for other matrices, it is only for the eigenvectors that rotation does not occur.
  2. See Introduction to Eigenvalues and Eigenvectors.
  3. See Introduction to Eigenvalues and Eigenvectors.

AQ08_3:

  1. See Finding Eigenvalues.
  2. Look for the notes about eigenvectors being invariant to scale in Properties of Eigenvalues and Eigenvectors.
  3. Use the simple equation in Finding Eigenvalues to find the eigenvalues of a 2{\times}2 matrix. Then find the two characteristic equations.
  4. See Roots of a Polynomial by Eigenvalues.