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How do you find the adjoint of a 3x3 matrix? can u explain example?

  1. Oct 15, 2005 #1
  2. jcsd
  3. Oct 15, 2005 #2
    To find the adjoint of a A:

    [tex]
    adj(A)_{ij} = (-1)^{i+j} det[A(j|i)]
    [/tex]

    That means that the entry in the row [tex]i[/tex] and column [tex]j[/tex] of [tex]adj(A)[/tex] is obtained by deleting the column [tex]j[/tex] and the row [tex]i[/tex] of A and then taking the determinant of that and multipliying by [tex](-1)^{i+j}[/tex]

    For instance if u have a 3x3 matrix:
    http://en.wikipedia.org/math/e36e0138b126ebbcf8fe80cd4f58f3aa.png

    this is the adjoint:
    http://en.wikipedia.org/math/a3c81ad8680add569a7377cda2529147.png
     
    Last edited: Oct 15, 2005
  4. Oct 16, 2005 #3
    Ahh thank u so much!
     
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