DeterminantHard

Question

If A and B are square matrices of order 3 such that |A| = - 1, |B| = 3, then |3AB| is equal to

Options

A.-9
B.-81
C.-27
D.81

Solution

|3 AB| = |A| . |3B|3 × 3
= (-1) . 33 |B|
= - 81

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