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JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant

ધારોકે \(A\) અને \(B\) એ એવાં \(3 \times 3\) શ્રેણિકી છે કે જેથી \(A B=I\) અને \(|A|=\frac{1}{8}\) થાય. તો \(|\operatorname{adj}(B \operatorname{adj}(2 A))|=\)

  1. A \(16\)
  2. B \(32\)
  3. C \(64\)
  4. D \(128\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(64\)

Step-by-step Solution

Detailed explanation

\(AB = i\) \(\operatorname{ladj}\left( B\right.\) adj \((2 A )|=| B\) adj \(\left.(2 A )\right|^{2}\) \(\quad=| B |^{2}\) |adj \(\left.(2 A )\right|^{2}\) \(=| B |^{2}\left(|2 A |^{2}\right)^{2}=| B |^{2}\left(2^{6}| A |^{2}\right)^{2}\) \(| A |=\frac{1}{8}\) and…
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