Question

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

Answer 1

Answer:

Single matrix

$\left[\begin{array}{ccc}-1&3\\0&-2\\1&0\end{array}\right]$

Step-by-step explanation:

Write the following as a single matrix:

let

$A= \left[\begin{array}{ccc}-1&2\\1&-2\\3&-1\end{array}\right]_{3\times 2}$

$B= \left[\begin{array}{ccc}0&1\\-1&0\\-2&1\end{array}\right]_{3\times 2}$

as both matrix are of same order,thus we can add them and convert into a single matrix

$A+B=\left[\begin{array}{ccc}-1&2\\1&-2\\3&-1\end{array}\right] + \left[\begin{array}{ccc}0&1\\-1&0\\-2&1\end{array}\right]\\\\\\= \left[\begin{array}{ccc}-1+0&2+1\\1-1&-2+0\\3-2&-1+1\end{array}\right]\\\\\\=\left[\begin{array}{ccc}-1&3\\0&-2\\1&0\end{array}\right]$

by this way given data can  be converted into a single matrix.