Assertion: and are symmetric matrices. Reason: is symmetric matrix, if matrix multiplication of with is commutation.

Assertion is true, Reason is true, but Reason is not the correct explanation of the Assertion. Explanation: Solution: Assertion: Let . Since and : Assertion is True. Reason: Since and : If (Commutative), then . Reason is True. Correct Option: (b)

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CUET PG 2026 Mathematics PYQ — Assertion: and are symmetric matrices. Reason: is symmetric matri… | Mathem Solvex

A.
Assertion is true, Reason is true, and Reason is the correct explanation of the Assertion.
B.
Assertion is true, Reason is true, but Reason is not the correct explanation of the Assertion.
(Correct Answer)
C.
Assertion is true, but Reason is false.
D.
Assertion is false, but Reason is true.

Correct Answer:

Assertion is true, Reason is true, but Reason is not the correct explanation of the Assertion.

Explanation

Solution:

Assertion:

Let $M = ABA$ .
$M^T = (ABA)^T$
$M^T = A^T B^T A^T$
Since $A^T = A$ and $B^T = B$ :
$M^T = ABA = M$

Assertion is True.

Reason:

$(AB)^T = B^T A^T$
Since $A^T = A$ and $B^T = B$ :
$(AB)^T = BA$
If $AB = BA$ (Commutative), then $(AB)^T = AB$ .

Reason is True.

Correct Option: (b)

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CUET PG 2026 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation