Express the matrix
Question:
Express the matrix $A=\left[\begin{array}{cc}2 & 3 \\ -1 & 4\end{array}\right]$ as the sum of a symmetric matrix and a skew-symmetric matrix.
Solution:
$\Rightarrow\left[\begin{array}{cc}2 & 3 \\ -1 & 4\end{array}\right]$