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Theoretical diagonalazation question

  1. Mar 2, 2009 #1
    there is
    [tex]
    A\epsilon M_{2x2}(Q)
    [/tex]
    I am given that A is diagonazable
    prove that
    A)
    [tex]
    A^10+12A
    [/tex]
    is diagonizable too

    B)give an example for a matrix B\epsilon M_{2x2}(Q)
    that is not diagonizable,but b^2 is diagonisable
    ??

    i know that the eigenvalues of a matrix are the same as for every matrix
    like A^10 or A^3+2A+3I etc..

    but i dont now how to show what they ask
    ??
     
    Last edited: Mar 2, 2009
  2. jcsd
  3. Mar 2, 2009 #2
    i mistakeny put it here
    it should be on calculus
     
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