Chapter 6, Problem 53SGR

To determine

To perform: the indicated matrix operation.

Answer to Problem 53SGR

The resulting matrix will be: $\left[\begin{array}{ccc}-1& -4& 7\\ -14& 0& -10\end{array}\right]$ .

Explanation of Solution

Given:

  $\left[\begin{array}{ccc}5& -8& 4\\ -6& 2& -9\end{array}\right]-\left[\begin{array}{ccc}6& -4& -3\\ 8& 2& 1\end{array}\right]$

Calculation:

The strategy is to perform the indicated operation.

The matric operation can be performed as below:

  $\begin{array}{l}\left[\begin{array}{ccc}5& -8& 4\\ -6& 2& -9\end{array}\right]-\left[\begin{array}{ccc}6& -4& -3\\ 8& 2& 1\end{array}\right]\\ =\left[\begin{array}{ccc}5-6& -8+4& 4+3\\ -6-8& 2-2& -9-1\end{array}\right]\\ =\left[\begin{array}{ccc}-1& -4& 7\\ -14& 0& -10\end{array}\right]\end{array}$

Conclusion:

Hence, the resulting matrix will be: $\left[\begin{array}{ccc}-1& -4& 7\\ -14& 0& -10\end{array}\right]$ .