Chapter 4.3, Problem 55STP

To determine

To find:The result of given operation

Answer to Problem 55STP

The result of givenoperation is $\left[\begin{array}{cc}42& -16\\ -42& 1\end{array}\right]$

Explanation of Solution

Given information:

The operation is $4\left[\begin{array}{cc}8& -1\\ -3& -4\end{array}\right]-5\left[\begin{array}{cc}-2& 4\\ 6& 3\end{array}\right]$ .

Calculation:

The value operation is,

  $\begin{array}{c}4\left[\begin{array}{cc}8& -1\\ -3& -4\end{array}\right]-5\left[\begin{array}{cc}-2& 4\\ 6& 3\end{array}\right]=\left[\begin{array}{cc}32& 4\\ -12& 16\end{array}\right]-\left[\begin{array}{cc}-10& 20\\ 30& 15\end{array}\right]\\ =\left[\begin{array}{cc}32+10& 4-20\\ -12-30& 16-15\end{array}\right]\\ =\left[\begin{array}{cc}42& -16\\ -42& 1\end{array}\right]\end{array}$