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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$\displaystyle \det (AA^{-1}) = \det I = 1$ Thus, $\displaystyle \det(A) \det(A^{-1}) = 1$
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