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Math Help - Determinant - Linear Algebra

  1. #1
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    Determinant - Linear Algebra

    Let A be a nonsingular matrix. Show that

    det(A^-1) = 1/det(A)

    I know that for a nxn matrix det(A^T) = det(A)... don't see how this one goes though... thanks in advance.
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  2. #2
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    \det (AA^{-1}) = \det I = 1
    Thus,
    \det(A) \det(A^{-1}) = 1
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