JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If \(A\) is a square matrix of order \(3\) such that \( \operatorname{det}(\mathrm{A})=3 \text { and } \) \( \operatorname{det}\left(\operatorname{adj}\left(-4 \operatorname{adj}\left(-3 \operatorname{adj}\left(3 \operatorname{adj}\left((2 \mathrm{~A})^{-1}\right)\right)\right)\right)\right)=2^{\mathrm{m}} 3^{\mathrm{n}},\) then \(m+ 2 n\) is equal to :
- A \(3\)
- B \(2\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
\( |\mathrm{A}|=3 \) \( \left|\operatorname{adj}\left(-4 \operatorname{adj}\left(-3 \operatorname{adj}\left(3 \operatorname{adj}\left((2 \mathrm{~A})^{-1}\right)\right)\right)\right)\right| \)…
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