and are symmetric matrices of the same order, then which of the following statements are true? (A) is a symmetric matrix (B) is a skew-symmetric matrix (C) is a symmetric matrix (D) is a symmetric matrix

A, B, C Explanation: Solution Given: and are symmetric matrices, which means: and Now, let's check each statement: Check (A): Since , it is Symmetric . (Statement A is True ) Check (B) & (D): Using the property : Substituting and : Since , it is Skew-Symmetric . (Statement B is True , Statement D is False ) Check (C): Since , it is Symmetric . (Statement C is True ) Conclusion Statements A, B, and C are true. The correct option is (a) .

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CUET PG 2026 — Mathematics PYQ

CUET PG | Mathematics | 2026

$S$ and $T$ are symmetric matrices of the same order, then which of the following statements are true?

(A) $S + T$ is a symmetric matrix

(B) $ST - TS$ is a skew-symmetric matrix

(C) $ST + TS$ is a symmetric matrix

(D) $ST - TS$ is a symmetric matrix

Choose the correct answer: