Since, A is symmetric, therefore, A’ = A ……..(i)
And A is skew-symmetric, therefore, A’ = – A
A = – A [From eq. (i)]
A + A = 0 2A = 0 A = 0
Therefore, A is zero matrix.
Therefore, option (B) is correct.
If the matrix 
is both symmetric and skew symmetric, then: (A) A is a diagonal matrix (B) A is a zero matrix (C) 
is a square matrix (D) None of these
is both symmetric and skew symmetric, then: (A) A is a diagonal matrix (B) A is a zero matrix (C) is a square matrix (D) None of these