[A] is square matrix which is neither symmetric nor skew-symmetric and [A]T is its transpose. The sum and difference of these matrices are defined as [S] = [A] + [A]T and [D] = [A] - [A]T, respectively. Which of the following statements is TRUE?
A. Both [S] and [D] are symmetric
B. Both [S] and [D] are skew-symmetric
C. [S] is skew-symmetric and [D] is symmetric
D. [S] is symmetric and [D] is skew-symmetric
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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