CUET · MATHS · PYQ PAPER 2023
Match List I with List II. "A is a non-singular matrix of order n."
| List - I | List - II |
| (A) \(|\operatorname{adj} A |\) | (I) \(\frac{1}{| A |} A\) |
| (B) \((\operatorname{adj} A)^{-1}\) | (II) \(2^n|A|\) |
| (C) \(\operatorname{adj}(\operatorname{adj} A )\) | (III) \(| A |^{n-2} A\) |
| (D) \(|2 A |\) | (IV) \(|A|^{n-1}\) |
- A A - IV, B - II, С - III, D - I
- B A - IV, B - I, С - III, D - II
- C А - III, В - ІІ, C - IV, D - I
- D А - II, В - І, C - III, D - IV
Answer & Solution
Correct Answer
(B) A - IV, B - I, С - III, D - II
Step-by-step Solution
Detailed explanation
(A) \(|\operatorname{adj} A | = |A|^{n-1}\) \(\rightarrow\) (IV) (B) \((\operatorname{adj} A)^{-1} = \frac{1}{|A|} A\) \(\rightarrow\) (I) (C) \(\operatorname{adj}(\operatorname{adj} A ) = |A|^{n-2} A\) \(\rightarrow\) (III) (D) \(|2 A | = 2^n|A|\) \(\rightarrow\) (II)
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