alleryIf A is symmetric and B is skew-symmetric (both n × n), then A + B:
ASymmetric
BSkew-symmetric
CNeither
DEither depending on entries
Answer & Solution
Correct answer: C. Neither
In general, sum of a symmetric and a skew-symmetric matrix is neither (it's just a general matrix).
However, every square matrix can be uniquely decomposed: A = ((A+Aᵀ)/2) + ((A-Aᵀ)/2).
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