If matrix A is symmetric, then the matrix kA (where k is a scalar) is:
If matrix A is symmetric, then the matrix kA (where k is a scalar) is:
- A. Skew-symmetric
- B. Symmetric
- C. Diagonal
- D. Zero matrix
Answer: B) Symmetric
Explanation: If A' = A, then the transpose of kA is (kA)' = k(A') = kA. Hence, kA is also a symmetric matrix.
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