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Q.

If det (A3x3) = 6, then det (Adj 2A) =

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a

144

b

32x28

c

33x24

d

22x38

answer is B.

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Detailed Solution

|A|3×3=6,|Adj|=?
Adj(KA) = Kn-1AdjA
Adj(2A) = 23-1Adj= 4AdjA
|Adj(2A)|=|4AdjA|=43|AdjA|=43|6|2
= 26 x 22 x 32 = 28 x 32

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