Day 34: Linear Algebra

Today:

• Don't forget: exam Friday. The exam will go through 5.1 (one problem from 5.1 homework will appear on the exam).
  • Old exams:
    • Exam 2 from fall 2005 Exam 2 from 2.4 through chapter 4, not including anything from 5 (key).
    • Exam 2 from fall 2004 (it included eigenvalues -- hence, some of the problems are not appropriate) (key).

• Section 4.6 homework returned
  • #22 -- the null space has to be at least two-dimensional, and hence requires at least 2 vectors as a basis.

• Questions about old stuff?

• Current Business:
  • Let's finish up 5.2:
    • How to find Eigenvalues and Eigenvectors
      • 5.2: The Characteristic Equation
      • Eigen examples:

  • Something new: section 5.3 highlights (pdf): Diagonalization
    • Example: #33, p. 326

Another eigenstuff applet demo