CUET Mathematics - Which of the following is NOT correct? | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Medium

applied

If matrix B is the inverse of matrix A, then A is the inverse of B.

A rectangular matrix of order $m \times n$ , $m \neq n$ does not possess an inverse.

If A and B are symmetric matrices of the same order, then (AB-BA) is a skew-symmetric matrix.

If a square matrix is invertible, then it may have more than one inverse.

✅ Correct Option: 4

Related questions:

15 May Shift 1

Match List-I with List-II

List-I	List-II
(A) If $A$ is a non-singular matrix of order $n$ , then $\|A(\text{adj} A)\|$ is equal to	(I) $\|A\|^{n-1}$
(B) If $A$ is a non-singular matrix of order $n$ , then $\|\text{adj}(\text{adj} A)\|$ is equal to	(II) $\|A\|^{n-2} A$
(C) If $A$ is a non-singular matrix of order $n$ , then $\text{adj}(\text{adj} A)$ is equal to	(III) $\|A\|^n$
(D) If $A$ is a non-singular matrix of order $n$ , then $\|(\text{adj} A)\|$ is equal to	(IV) $\|A\|^{(n-1)^2}$

Choose the correct answer from the options given below:

19 May Shift 1

If $C_{ij}$ represents the cofactor of element $a_{ij}$ of the matrix $A = \begin{bmatrix} 2 & -1 & 3 \\ 1 & 2 & 0 \\ 4 & 1 & 5 \end{bmatrix}$ then the value of $C_{23} + C_{21} - C_{22}$ is

14 May Shift 2

If A and B are two invertible matrices, then which of the following statements are correct?

(A) $|A^{-1}| = |A|^{-1}$

(B) $adjA = |A|A^{-1}$

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

Choose the correct answer from the options given below:

List-I	List-II
(A) If $A$ is a non-singular matrix of order $n$ , then $\|A(\text{adj} A)\|$ is equal to	(I) $\|A\|^{n-1}$
(B) If $A$ is a non-singular matrix of order $n$ , then $\|\text{adj}(\text{adj} A)\|$ is equal to	(II) $\|A\|^{n-2} A$
(C) If $A$ is a non-singular matrix of order $n$ , then $\text{adj}(\text{adj} A)$ is equal to	(III) $\|A\|^n$
(D) If $A$ is a non-singular matrix of order $n$ , then $\|(\text{adj} A)\|$ is equal to	(IV) $\|A\|^{(n-1)^2}$

CUET Mathematics 2025 13 May Shift 1 PYQs

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