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