Question

A matrix A is both symmetric and skew symmetric then matrix A is

Answer 1

Answer:

null matrix is your answer

Answer 2

Answer:

$A = \left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

Step-by-step explanation:

For matrix to be symmetric,

$\boxed{A^T = A}$

for matrix to be skew symmetric,

$\boxed{A^T = -A}$

Since, symmetric and skew symmetric is not possible for matrix consisting of real values except zero.

Hence, A matrix should be zero or null matrix.

$i.e A = \left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$