Question

$\left[\begin{array}{cc}r+4& 6\\ 3& r+3\end{array}\right]={\left[\begin{array}{cc}5& r+2\\ r+5& 4\end{array}\right]}^T$ then $r=?$

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

$\left[\begin{array}{cc}r+4& 6\\ 3& r+3\end{array}\right]=\left[\begin{array}{cc}5& r+2\\ r+5& 4\end{array}\right]$

$\left[\begin{array}{cc}r+4& 6\\ 3& r+3\end{array}\right]=\left[\begin{array}{cc}5& r+5\\ r+2& 4\end{array}\right]$

Transposing a matrix means interchanging the rows & columns.

$r+4=5$

$r=1$.