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Cofactors and determinants

  1. Oct 15, 2014 #1
    Any1 can explain to me why det(C)=det(A)^(n-1)
    where A is n-by-n matrix and C is the matrix of cofactors of A.
    I have been thinking, any 1 can help?thx!
     
  2. jcsd
  3. Oct 15, 2014 #2

    Erland

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    Science Advisor

    This follows from the equation AC=(det A)I, or equivalently A-1= (1/det A)C (if det A≠0).
     
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