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Linear Algebra Question

  1. Mar 13, 2013 #1
    1. The problem statement, all variables and given/known data

    Let A ε M2x2 prove χA(x) = x^2 -tr(A)x + det(A)


    2. Relevant equations



    3. The attempt at a solution
    Hi all, this is an assignment equation and the right hand side i can perfectly understand but i cant understand the left hand side, What is it i am looking for?? Can anyone help?
     
  2. jcsd
  3. Mar 13, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    The left side looks like it is supposed to be the characteristic polynomial of A.
     
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