Chapter 4.3, Problem 56STP

To determine

To find:The result of given operation

Answer to Problem 56STP

The result of givenoperation is $\left[\begin{array}{cc}-5& -20\\ -100& -30\end{array}\right]$

Explanation of Solution

Given information:

The operationis $5\left(2\left[\begin{array}{cc}-2& -5\\ -1& 3\end{array}\right]-3\left[\begin{array}{cc}-1& -2\\ 6& 4\end{array}\right]\right)$ .

Calculation:

The value operation is,

  $\begin{array}{c}5\left(2\left[\begin{array}{cc}-2& -5\\ -1& 3\end{array}\right]-3\left[\begin{array}{cc}-1& -2\\ 6& 4\end{array}\right]\right)=5\left(\left[\begin{array}{cc}-4& -10\\ -2& 6\end{array}\right]-\left[\begin{array}{cc}-3& -6\\ 18& 12\end{array}\right]\right)\\ =5\left[\begin{array}{cc}-1& -4\\ -20& -6\end{array}\right]\\ =\left[\begin{array}{cc}-5& -20\\ -100& -30\end{array}\right]\end{array}$