imo class 12 matrices

If a matrix A is both symmetric and skew-symmetric, then A must be:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If a matrix A is both symmetric and skew-symmetric, then A must be:

  • A. Zero matrix
  • B. Identity matrix
  • C. Diagonal matrix
  • D. Scalar matrix

Answer: A) Zero matrix

Explanation: If A is symmetric, A' = A. If A is skew-symmetric, A' = −A. Equating: A = −A → 2A = 0 → A = 0. So A is the zero matrix.

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