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