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Session 13

Instructions

  • The following video covers the material for this session.
  • After watching the video, you should attempt the homework problems.
  • This is the last session so you should return to the main page when you are done.

Content

  • Properties of eigenvalues and eigenvectors
  • Definition of the eigenspace of an eigenvalue 
  • Characteristic polynomial of a matrix
  • Algebraic and geometric multiplicity of an eigenvalue
  • Determining if a matrix is diagonalizable
  • Vector spaces with norms
 
 

Homework

3.3 (Nicholson): 1b, 1g, 3, 6, 8b, 27
9.3 (Fioresi): 1, 2, 3, 4
9.4 (Fioresi): 1, 4, 7, 11

Open Nicholson Homework Assignment