Q. 14 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 13–16, use the following matrices to compute each expression.

$A=\left[\begin{array}{cc}1& 0\\ 2& 4\\ -1& 2\end{array}\right] B=\left[\begin{array}{ccc}4& -3& 0\\ 1& 1& -2\end{array}\right] C=\left[\begin{array}{cc}3& -4\\ 1& 5\\ 5& 2\end{array}\right]$

$6A$

Step-by-Step Solution

Answer

$6A=\left[\begin{array}{cc}6& 0\\ 12& 24\\ -6& 12\end{array}\right]$

Step 1. Given information

The given matrices are

$A=\left[\begin{array}{cc}1& 0\\ 2& 4\\ -1& 2\end{array}\right] B=\left[\begin{array}{ccc}4& -3& 0\\ 1& 1& -2\end{array}\right] C=\left[\begin{array}{cc}3& -4\\ 1& 5\\ 5& 2\end{array}\right]$

Step 2. Find the value of expression 6 A .

$$\begin{gathered} 6A \\ =6\left[\begin{array}{cc}1& 0\\ 2& 4\\ -1& 2\end{array}\right] \\ =\left[\begin{array}{cc}6& 0\\ 12& 24\\ -6& 12\end{array}\right] \end{gathered}$$