CUET Mathematics - If A and B are symmetric matrices of the same order then which of the following statements are correct? A. AB is symmetric matrix B. AB - BA is skew symmetric matrix C. B^TAB is symmetric matrix D. A - A^T is skew symmetric matrix Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Algebra

Medium

common

A and C only

B and D only

A, C and D only

B, C and D only

✅ Correct Option: 4

Related questions:

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If A and B are square matrices of order n, such that AB = A and BA = B, then $A^2$ =

25th May Shift 1

If $A = \begin{bmatrix} 1 & a \\ b & 2 \end{bmatrix}$ and $B = \begin{bmatrix} a & 1 \\ 2 & -3b \end{bmatrix}$ such that $\lvert AB\rvert = \lvert 2B\rvert$ and $ab \neq -\dfrac{2}{3}$ then:

A. $\lvert A\rvert = 2$

B. $\lvert A\rvert = 4$

C. $\lvert B\rvert = 2$

D. $\lvert B\rvert = 4$

Choose the correct answer from the options given below:

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Let A = $[a_{ij}]_{n \times n}$ be a matrix. Then

Match List-I with List-II

List-I	List-II
(A) $A^T = A$	(I) A is a singular matrix
(B) $A^T = -A$	(II) A is a non-singular matrix
(C) $\vert A\vert = 0$	(III) A is a skew symmetric matrix
(D) $\vert A\vert \neq 0$	(IV) A is a symmetric matrix

Choose the correct answer from the options given below:

CUET Mathematics 2026 26th May Shift 2 PYQs

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