Q. 11 - Precalculus Enhanced with Graphing Utilities

Question

Use the following matrices to evaluate the given expression.

$A=\left[\begin{array}{ccc}0& 3& -5\\ 1& 2& 6\end{array}\right], B=\left[\begin{array}{ccc}4& 1& 0\\ -2& 3& -2\end{array}\right], C=\left[\begin{array}{cc}4& 1\\ 6& 2\\ -2& 3\end{array}\right]$

4$A$

Step-by-Step Solution

Answer

$4A=\left[\begin{array}{ccc}0& 12& -20\\ 4& 8& 24\end{array}\right]$

Step 1. Given

$A=\left[\begin{array}{ccc}0& 3& -5\\ 1& 2& 6\end{array}\right], B=\left[\begin{array}{ccc}4& 1& 0\\ -2& 3& -2\end{array}\right], C=\left[\begin{array}{cc}4& 1\\ 6& 2\\ -2& 3\end{array}\right]$

Step 2. Calculation

$$\begin{gathered} A=\left[\begin{array}{ccc}0& 3& -5\\ 1& 2& 6\end{array}\right] \\ 4A=\left[\begin{array}{ccc}0& 12& -20\\ 4& 8& 24\end{array}\right] \end{gathered}$$