CUET Mathematics - If A is a skew-symmetric matrix, then which of the following statements is **NOT** true? (A) A is singular if order of A is odd (B) A is non-singular (C) A^2025 is a skew-symmetric matrix (D) A^2025 is a symmetric matrix (E) all diagonal elements of A are zeros Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Algebra

Medium

core

(A), (C) and (E) only

(A) and (E) only

(B), (D) and (E) only

(B) and (D) only

✅ Correct Option: 4

Related questions:

3 June Shift 1

The value of $\begin{vmatrix} x & x+y & x+y+z \\ 2x & 3x+2y & 4x+3y+2z \\ 3x & 6x+3y & 10x+6y+3z \end{vmatrix}$ is

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:

29 May Shift 2

Which of the following statement are correct?

(A) $A = [a_{ij}]_{n \times n}$ is a diagonal matrix if $a_{ij} = 0$ when $i \neq j$

(B) A square matrix $A = [a_{ij}]$ is called a symmetric matrix if $a_{ij} = a_{ji}$ for all $i, j$

(D) For every square matrix A, there exist an identity matrix of the same order such that IA = AI = I

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 22 May Shift 1 PYQs