Question

Write the following as a single matrix: $\left[\begin{array}{ccc}3&9&0\\1&8&-2\end{array}\right] + \left[\begin{array}{ccc}4&0&2\\7&1&4\end{array}\right]$

Answer 1

Answer:

Given data in form of a single matrix can be written as

$\left[\begin{array}{ccc}7&9&2\\8&9&2\end{array}\right]_{2\times 3}$

Step-by-step explanation:

As it is clear that both matrix are of same order,thus both matrix can be added and and converted into single matrix.

$\left[\begin{array}{ccc}3&9&0\\1&8&-2\end{array}\right]_{2\times 3}+ \left[\begin{array}{ccc}4&0&2\\7&1&4\end{array}\right]_{2\times 3}\\\\\\=\left[\begin{array}{ccc}3+4&9+0&0+2\\1+7&8+1&-2+4\end{array}\right]_{2\times 3}\\\\\\\left[\begin{array}{ccc}7&9&2\\8&9&2\end{array}\right]_{2\times 3}$