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Math Help - Find the determinant given the adjoint

  1. #1
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    Find the determinant given the adjoint

    For the first question, the matrix B is just the adj(A)?

    I have no idea where to begin with the second question, if anyone could help me get started.

    Any help is greatly appreciated!
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  2. #2
    o_O
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    The easiest way to do it..

    Given that A is an invertible, nxn matrix, we have that: \det (A) = \sqrt[n-1]{\det \big[ \text{adj} (A) \big]}

    This can be derived from the relationship: \det (A) A^{-1} = \text{adj} (A)

    where you take the determinant of both sides and solve.
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