imo class 12 matrices

For any matrix A, the matrix A A' is always a:

VAVidaara Admin Asked 6d ago 0 views 0 answers

For any matrix A, the matrix 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'. Taking the transpose: P' = (A A')' = (A')' A' = A A' = P. Since P' = P, the product A A' is always symmetric.

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