Q.

Let A be a 3x3 matrix such that det⁡(A)=−2. Then det⁡−2A−1 is equal to

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a

4

b

-4

c

8

d

-2

answer is A.

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Detailed Solution

As A-1 is a 3x3 matrix,det⁡−2A−1=(−2)3det⁡A−1=(−2)3(det⁡(A))−1=(−8)−12=4
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Let A be a 3x3 matrix such that det⁡(A)=−2. Then det⁡−2A−1 is equal to