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Q.

Let A be 3×3 Invertible matrix. |Adj(24A)|=|Adj(3Adj(2A))| then absolute value of |A|is (|A| is determinant of A).

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a

8

b

64

c

4

d

2

answer is A.

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Detailed Solution

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|AdjA|=|A|n1,|KA|=Kn|A|

L.H.S=(24)6|A|2

R.H.S=36.212|A|4

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Let A be 3×3 Invertible matrix. |Adj(24A)|=|Adj(3Adj(2A))| then absolute value of |A| is (|A| is determinant of A).