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Math Help - Inverse in terms of minors and determinants

  1. #1
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    Inverse in terms of minors and determinants

    If A is an n n matrix and det(A) \neq0 ,write down a formula for the entries in the inverse of A in terms of determinants and minors.




    I am totally at a loss for how to show this, so any help would be appreciated.
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  2. #2
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    Quote Originally Posted by davesface View Post
    If A is an n n matrix and det(A) \neq0 ,write down a formula for the entries in the inverse of A in terms of determinants and minors.

    I am totally at a loss for how to show this, so any help would be appreciated.

    Read about the adjoint matrix of a square matrix (which entries are precisely the matrix's minors' determinants), and which fulfills the formula A\cdot Adj(A)=|A|\cdot I...

    Tonio
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