Question

If B = ${\displaystyle \left|\begin{array}{cc}15& 13\\ 11& 12\\ 10& 17\end{array}\right|}$ , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.

Answer 1

B = ${\displaystyle {\left|\begin{array}{cc}15& 13\\ 11& 12\\ 10& 17\end{array}\right|}_{3\times 2}}$

B^t = ${\displaystyle {\left|\begin{array}{ccc}15& 11& 10\\ 13& 12& 17\end{array}\right|}_{2\times 3}}$

To add two ma01xes their order 1.e. their corresponding number of rows and number of columns should be same, whereas in this case order of Band B' are not same hence, we cannot add them.