Go to CCP Homepage Go to Materials Page Go to Linear Algebra Materials Go to Table of Contents
Go Back One Page

Eigenvalues and Eigenvectors

Part 5: Summary

  1. Describe briefly the "eigen" commands you have used in this module -- what each of them does and how they differ from one another.


  2. Describe the process by which you construct a matrix P whose columns are eigenvectors of a given matrix.


  3. Describe a process by which you can find the dimension of and a basis for each eigenspace.


  4. Describe any significant effect of re-ordering the columns of the eigenvector matrix P.


  5. Describe any significant effect of multiplying a column of P by a nonzero scalar.


  6. Describe any problems your computer algebra system has with handling complex eigenvalues.


  7. Describe what happens when you try to diagonalize a matrix that is not diagonalizable.


Go to CCP Homepage Go to Materials Page Go to Linear Algebra Materials Go to Table of Contents
Go Back One Page

modules at math.duke.edu