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.
CUET UG 2022 — Mathematics Algebra
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:
Held on 4 Aug 2022 · Verified 13 Jul 2026.
A-II, B-I, C-III, D-IV
A-IV, B-II, C-I, D-III
A-III, B-IV, C-II, D-I
A-II, B-IV, C-I, D-III
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$, $\forall i, j$ then which of the following are correct? (A) A is a skew-symmetric matrix. (B) A is a non-singular matrix. (C) The inverse of A does not exist. (D) A is a symmetric matrix. Choose the correct answer from the options given below:
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ is (where $\mathbb{R}$ is a set of real number)
Assume $P$, $Q$, $R$ and $W$ are matrices of order $3 \times 3$, $a \times 4$, $b \times c$ and $d \times a$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:
Work through every CUET UG Algebra PYQ, year by year.