CUET Mathematics - If A = [a_ij] is skew symmetric matrix of order 'n', then | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Algebra

Medium

common

$a_{ij} = \frac{1}{a_{ji}}$ for all $i, j$

$a_{ij} = 0$ for $i = j$

$a_{ij} = 0$ for all $i, j$

$a_{ij} \neq 0$ for $i = j$

✅ Correct Option: 2

Related questions:

15 May Shift 1

Let $A = [a_{ij}]$ be a square matrix of order 3 with each entry either 0 or 1, then the number of all such possible matrices is:

13 May Shift 2

Which of the following statements is (are) true?

(A) $B^T AB$ is a skew-symmetric matrix if A is a symmetric matrix

(B) $B^T AB$ is a symmetric matrix if A is a symmetric matrix

(D) $B^T AB$ is a skew-symmetric matrix if B is a skew-symmetric matrix

(E) $B^T AB$ is a symmetric matrix if B is a symmetric matrix

Choose the correct answer from the options given below:

2 June Shift 1

If $a_{ij}=i+3j$ , then the matrix of order 2 with elements as $a_{ij}$ is

CUET Mathematics 2025 3 June Shift 1 PYQs