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If A and B are square matrices of order ...

If A and B are square matrices of order 3 such that `absA=-1,absB=3," then "abs(3AB)` equals

A

3

B

-9

C

-27

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
We know that, `|kA|=k^(n)|A|,` where n is order of matrix A.
`therefore|3AB|=3^(2)|A||B|" "(because |AB|=|A||B|)`
`=9(-)(3)" "(because |A|=-1,|B|=3)`
`=-27`
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