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How do u show that a matrix is diagonizable?

  1. Jan 2, 2005 #1
    How do u show that a matrix is diagonizable ?
    Thanks
     
  2. jcsd
  3. Jan 2, 2005 #2

    matt grime

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    by finding a basis of eigenvectors, by demonstrating that its minimal polynomial has rank n (where the matrix is nxn), occasionally by finding n distinct eigenvalues, or sometimes by showing that the field is algebraically closed and the matrix is in the image of some group homomorphism, or perhaps in some cases by showing that it is hermitian....

    just show that it has a basis of eigenvectors, ok?
     
  4. Jan 2, 2005 #3
    ok thanks alot
     
  5. Jan 8, 2005 #4

    mathwonk

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    read my short book posted near here for several different standard criteria for diagonalizability.
     
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