CUET Mathematics - If A and B are square matrices of the same order, then which of the following statements are correct? (A) |A^-1| = |A|^-1 (B) adj(A) = |A|A^-1 (C) (A + B)^-1 = B^-1 + A^-1 (D) (AB)^-1 = B^-1A^-1 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Algebra

Medium

applied

(A), (B) and (D) only

(A), (B) and (C) only

(A), (C) and (D) only

(B), (C) and (D) only

✅ Correct Option: 1

Related questions:

16 May Shift 1

Match List-I with List-II

Let $A$ be any invertible square matrix. Then

List-I	List-II
(A) $A - A^T$	(I) $\|A\|A^{-1}$
(B) $A A^T$	(II) Skew-symmetric
(C) $\det (A^{-1})$	(III) Symmetric
(D) $\text{adj} A$	(IV) $[\det(A)]^{-1}$

Choose the correct answer from the options given below:

30 May Shift 1

Assume $p$ , $q$ , $\beta$ and $w$ are matrices of order $3 \times 3$ , $q \times 4$ , $\beta \times c$ and $x \times u$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:

21 May Shift 2

If $\begin{bmatrix} x-y & 0 \\ x+y & 1 \end{bmatrix}$ is an identity matrix and $\begin{bmatrix} x & y \\ z & x \end{bmatrix}$ is a singular matrix then:

CUET Mathematics 2025 21 May Shift 2 PYQs

Keyboard Shortcuts