Help with a simple determinant question (lin algebra)

If det(A)=3.

det(2A^-1)= ??

Please tell me how you come to the conclusion:)

2^n * det (A)= 2^n * 3

n is the size of matrix A which is needed to compute this. also det (A^-1-)= det A
and det(AB)= det A * det B

det(2A^-1)=2^n det(A^-1)=2^n/det(A)=2^n/3

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