DeterminantHard

Question

If B is a non-singular matrix and A is a square matrix, then det (B-1 AB) is equal to

Options

A.det (A-1)
B.det (B-1)
C.det (A)
D.det (B)

Solution

det (B-1 AB)
= det B-1 . det AB
= det B-1 . det A. det B
det A det B = det A

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