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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