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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 .

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characteristic polynomial for a 3x3 matrix

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  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

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