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Adjugate matrix

  1. Sep 1, 2009 #1
    I know how to find the adjugate of 3x3 matrix. from the defination.

    How to find adjugate of 2x2 matrix.

    e.g A= ( 1 3 )
    ______( 2 4 )

    adjoint .

    First . we find matrix of cofactor. from the defination. (n-1)(n-1) matrix * (sign associated with the element's position).

    Second, we taking the transpose we get the adj(A)

    Then we find the det(A).

    Finally, A^-1 = 1/det(A) * adj(A)

    The inverse of A.

    [itex]AA^- = A^-A=I[/itex] and A adj(A) = det(A)I

    The inverse of [itex]A = det(A)I/ A^-[/itex]
    Last edited: Sep 1, 2009
  2. jcsd
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