A: ∣AB∣=∣A∣∣B∣ matches II.
B: ∣adj A∣=∣A∣n−1=∣A∣2 for n=3 matches IV.
C: ∣A−1∣=∣A∣1 matches I.
D: (AB)−1=B−1A−1 matches III.
So A-II, B-IV, C-I, D-III.
Match List I with List II: Given that A and B are invertible matrices of size 3 × 3 | List I | List II | |---|---| | A. lvert AB rvert | I. 1 lvert A…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Match List I with List II: Given that A and B are invertible matrices of size 3×3
| List I | List II |
|---|---|
| A. ∣AB∣ | I. ∣A∣1 |
| B. ∣AdjA∣ | II. ∣A∣∣B∣ |
| C. ∣A−1∣ | III. B−1⋅A−1 |
| D. (AB)−1 | IV. ∣A∣2 |
Choose the correct answer from the options given below:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A-II, B-I, C-III, D-IV
- B
A-IV, B-II, C-I, D-III
- C
A-III, B-IV, C-II, D-I
- D
A-II, B-IV, C-I, D-III
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