If the matrix A is both symmetric and skew-symmetric, then:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A is a zero matrix ##
If A is both symmetric and skew-symmetric, then we have,
$A' = A$ and $A' = -A$
$\Rightarrow A = -A$
$\Rightarrow A + A = 0$
$\Rightarrow 2A = 0$
$\Rightarrow A = 0$
Therefore, A is a zero matrix.