Chapter 4.2, Problem 3CYU

To determine

To find: Theresultant matrix from the given operation.

Answer to Problem 3CYU

The resultant matrix from the given operation is $\left[\begin{array}{cc}-2& -18\\ 11& -5\end{array}\right]$ .

Explanation of Solution

Given information:

The operationis $\left[\begin{array}{cc}7& -12\\ 15& 4\end{array}\right]-\left[\begin{array}{cc}9& 6\\ 4& -9\end{array}\right]$ .

Calculation:

The resultant matrix is,

  $\begin{array}{c}\left[\begin{array}{cc}7& -12\\ 15& 4\end{array}\right]-\left[\begin{array}{cc}9& 6\\ 4& -9\end{array}\right]=\left[\begin{array}{cc}7-9& -12-6\\ 15-4& 4-9\end{array}\right]\\ =\left[\begin{array}{cc}-2& -18\\ 11& -5\end{array}\right]\end{array}$