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Question

Question: If A and B are square Matrices of order 3 such that \|A\| = –1 , \|B\| = 3 then \|3AB\| = ---------...

If A and B are square Matrices of order 3 such that |A| = –1 , |B| = 3 then |3AB| = ---------

A

–9

B

–81

C

–27

D

81

Answer

–81

Explanation

Solution

|3AB| = 3 × 3 × 3 |A| |B| = 27 (–1) (3) = –81