1 / 15

characteristic polynomial for a 3x3 matrix

an algorithm to generate the. characteristic polynomial for a 3x3 matrix. M. M. det M. The constant term is minus the determinant of the matrix M. M. trace M. det M. The coefficient of the  2 term is minus the trace of the matrix M .

lev
Download Presentation

characteristic polynomial for a 3x3 matrix

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. an algorithm to generate the characteristic polynomial for a 3x3 matrix

  2. M

  3. M det M The constant term is minus the determinant of the matrix M.

  4. M trace M det M The coefficient of the 2 term is minus the trace of the matrix M . The trace of the matrix M = a + e + i.

  5. M trace M det M The coefficient of the  term is: +

  6. M trace M det M The coefficient of the  term is: + +

  7. M trace M det M The coefficient of the  term is: + +

  8. example:

  9. M det M = 45 The constant term is minus the determinant of the matrix M =45

  10. M trace M=11 45 The coefficient of the 2 term is minus the trace of the matrix M . The trace of the matrix M = a + e + i = 11

  11. M 11 45 The coefficient of the  term is: +

  12. M 11 45 The coefficient of the  term is: 9 + +

  13. M 11 45 The coefficient of the  term is: 9 9 + +

  14. M 39 11 45 The coefficient of the  term is: 9 9 21 + +

  15. M 39 11 45

More Related