Question

If $A$ = $\left[\begin{array}{cc}-3& 5\\ 5& 0\\ -7& 4\end{array}\right]$ and $B$ = $\left[\begin{array}{ccc}3& -5& 7\\ -5& 0& -4\end{array}\right]$, then find $A$ + $B^T$

• A. $0$
• B. $2B$
• C. $2A^T$
• D. $2B^T$

Answer 1

The correct option is A $0$

$A=\left[\begin{array}{cc}-3& 5\\ 5& 0\\ -7& 4\end{array}\right]B=\left[\begin{array}{ccc}3& -5& 7\\ -5& 0& -4\end{array}\right]$

$B^T=\left[\begin{array}{cc}3& -5\\ -5& 0\\ 7& -4\end{array}\right]=-A$

$B^T+A=0$