Question:medium

Let \(S\) and \(T\) be symmetric matrices of the same order, which of the following statements are true?
• [A.] \(S + T\) is a symmetric matrix
• [B.] \(ST\) is a symmetric matrix
• [C.] \(ST = TS\) is a symmetric matrix
• [D.] \(ST - TS\) is a symmetric matrix

Show Hint

Matrix multiplication is not commutative; symmetry of product depends on commutativity.
Updated On: Jun 5, 2026
  • A, D only
  • A, C only
  • A, B only
  • A, C, D only
Show Solution

The Correct Option is B

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