Question

If $A=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]$ and $B=\left[\begin{array}{cc}-1& 4\\ 6& 3\end{array}\right]$, find $(A+B{)}^T$.

Answer 1

$A=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]$ and $B=\left[\begin{array}{cc}-1& 4\\ 6& 3\end{array}\right]$

$A+B=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]+\left[\begin{array}{cc}-1& 4\\ 6& 3\end{array}\right]=\left[\begin{array}{cc}0& 6\\ 9& 7\end{array}\right]$

$(A+B{)}^T=\left[\begin{array}{cc}0& 9\\ 6& 7\end{array}\right]$