Question

If possible, find the sum of the matrices A and B, where:

A = $\left[\begin{array}{c}\sqrt{3}1\\ 23\end{array}\right]$ and B = $\left[\begin{array}{c}xyz\\ abc\end{array}\right]$

Answer 1

We have, A = ${\left[\begin{array}{c}\sqrt{3}1\\ 23\end{array}\right]}_{2\times 2}$ and B = ${\left[\begin{array}{c}xyz\\ ab6\end{array}\right]}_{2\times 3}$

Here, A and B are of different orders. Also, we know that the addition of two matrices A and B is possible only if order of both the matrices A and B are the same.

Hence, the sum of matrices A and B is not possible.