CUET Mathematics - If A and B are two non-singular matrices of same order, then which of the following statements are not correct ? A. AB is non singular. B. (A+B)^-1 = B^-1+A^-1. C. adj (AB) = adj B. adj A. D. AB is not invertible. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Algebra

Medium

core

B and D only

A and D only

A and B only

A, B and C only

✅ Correct Option: 1

Related questions:

10 Aug Shift 1

Let $A$ and $B$ be two non-singular, square matrices of same order, and

A. $(AB)^{-1} = B^{-1} \cdot A^{-1}$

B. $(A+B)^{-1} = B^{-1} + A^{-1}$

C. $adj. A = |A| \cdot A^{-1}$

D. $det(A^{-1}) = [det A]^{-1}$

Choose the correct answer from the options given below

13 May Shift 1

Match List-I with List-II

List-I	List-II
Type of matrix	Conditions
(A) Square matrix A	(I) $A = [a_{ij}]_{m \times m}$ where $\begin{cases} a_{ij} = 0 & , i \neq j \\ a_{ij} = k & , i = j \end{cases}$ , where $k \neq 0$ is constant.
(B) Scalar Matrix A	(II) $A = [a_{ij}]_{m \times m}$
(C) Diagonal matrix A	(III) $A = [a_{ij}]_{m \times m}$ where $\begin{cases} a_{ij} = 0 & , i \neq j \\ a_{ij} = 1 & , i = j \end{cases}$
(D) Identity matrix A	(IV) $A = [a_{ij}]_{m \times m}$ where $a_{ij} = 0$ , $i \neq j$

Choose the correct answer from the options given below:

16 May Shift 1

If the matrix $\left[\begin{array}{rrr}0 & -1 & 3 x \\ 1 & y & -5 \\ -6 & 5 & 0\end{array}\right]$ is skew-symmetric, then the value of $5 x-y$ is:

CUET Mathematics 2026 25th May Shift 1 PYQs