Chapter 16.2, Problem 7OE

To determine

To simplify: the given expression.

Answer to Problem 7OE

The difference of the given matrices is $\left[\begin{array}{ccc}-1& 3& 4\\ 0& 0& 0\end{array}\right]$ .

Explanation of Solution

Given information:

Given expression,

  $\left[\begin{array}{ccc}0& -2& 4\\ 3& -2& -6\end{array}\right]-\left[\begin{array}{ccc}1& -5& 0\\ 3& -2& -6\end{array}\right]$

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

  $\begin{array}{c}\left[\begin{array}{ccc}0& -2& 4\\ 3& -2& -6\end{array}\right]-\left[\begin{array}{ccc}1& -5& 0\\ 3& -2& -6\end{array}\right]=\left[\begin{array}{ccc}0-1& -2-\left(-5\right)& 4-0\\ 3-3& -2-\left(-2\right)& -6-\left(-6\right)\end{array}\right]\\ =\left[\begin{array}{ccc}-1& 3& 4\\ 0& 0& 0\end{array}\right]\end{array}$

The difference of the given matrices is $\left[\begin{array}{ccc}-1& 3& 4\\ 0& 0& 0\end{array}\right]$ .