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Math Help - finding determinant of inverse

  1. #1
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    finding determinant of inverse

    Let A = (aij)n x n and the determinant of A does not equal zero. Find det(A^-1) in terms of det A.

    Honestly, I have no idea where to start. If someone could get me going in the right direction with a suggested course of action, I think it would be enough. Thank you!
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    See here.
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  3. #3
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by dan213 View Post
    Let A = (aij)n x n and the determinant of A does not equal zero. Find det(A^-1) in terms of det A.

    Honestly, I have no idea where to start. If someone could get me going in the right direction with a suggested course of action, I think it would be enough. Thank you!
    It is `well known' that det(AB)=det(A)det(B) for A, B square matrices. If you do not have this result in your notes it would be a good exercise for you to prove it.

    Can you think how this result might apply to your problem?
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