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Session 12


  • The following video covers the material for this session.
  • After watching the video, you should attempt the homework problems.
  • When you have finished the material below, you can return to the main page or start on the next session.


  • Examples of linear transformations and the application of the Rank-Nullity Theorem
  • Relationship between transition matrices and linear transformations
  • Using transition matrices to change the matrix representation of a linear representation to use a different basis of the vector space
  • Similarity of matrices
  • Eigenvalues and eigenvectors


7.2 (Nicholson): 1b, 2b, 2f, 6(c,i,l), 10, 11, 15
7.3 (Nicholson): 1b, 1d, 26
8.4 (Fioresi): 1, 2, 7
8.5 (Fioresi): 2
5.8 (Fioresi): 3
5.9 (Fioresi): 7(i, iv), 8, 12, 14, 19, 20

Open Nicholson Homework Assignment