If A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?

A and B need not be unit matrices.

Both A and B must be unit matrices.

If A and B are square matrices of order 2 such that det(AB) = det(BA),

1.	If A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?
A.	A must be a unit matrix.
B.	B must be a unit matrix.
C.	Both A and B must be unit matrices.
D.	A and B need not be unit matrices.
Answer» D. A and B need not be unit matrices.

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If A and B are square matrices of order 2 such that det(AB) = det(BA), then which one of the following is correct?

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