imo class 12 matrices

For any square matrix A with real number entries, A + A' is always a:

VAVidaara Admin Asked 6d ago 0 views 0 answers

For any square matrix A with real number entries, A + A' is always a:

  • A. Symmetric matrix
  • B. Skew-symmetric matrix
  • C. Diagonal matrix
  • D. Identity matrix

Answer: A) Symmetric matrix

Explanation: Let P = A + A'. Then P' = (A + A')' = A' + (A')' = A' + A = P. Since P' = P, A + A' is symmetric.

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