Chapter 16.2, Problem 1OE

To determine

To simplify: the given expression.

Answer to Problem 1OE

The sum of the given matrices is $\left[\begin{array}{cc}4& 4\\ 0& 3\end{array}\right]$ .

Explanation of Solution

Given information:

Given expression,

  $\left[\begin{array}{cc}4& 1\\ -2& 0\end{array}\right]+\left[\begin{array}{cc}0& 3\\ 2& 3\end{array}\right]$

Calculation: The dimensions of the given matrices are the same. Add the corresponding elements.

  $\begin{array}{c}\left[\begin{array}{cc}4& 1\\ -2& 0\end{array}\right]+\left[\begin{array}{cc}0& 3\\ 2& 3\end{array}\right]=\left[\begin{array}{cc}4+0& 1+3\\ -2+2& 0+3\end{array}\right]\\ =\left[\begin{array}{cc}4& 4\\ 0& 3\end{array}\right]\end{array}$

The sum of the given matrices is $\left[\begin{array}{cc}4& 4\\ 0& 3\end{array}\right]$ .