Given the matrices \( A \) and \( B \) shown below, find \( 4 A-\frac{1}{2} B \).
\[
A=\left[\begin{array}{c}
-3 \\
-5 \\
5
\end{array}\right] \quad B=\left[\begin{array}{c}
-8 \\
-6 \\
-18
\end{array}\right]
\]

Answer

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Answer

\( 4A-\frac{1}{2}B =\left[\begin{array}{c} -8\\ -17\\ 29\end{array}\right] \)

Steps

Step 1 ：\( 4A=\left[\begin{array}{c} -12\\ -20\\ 20\end{array}\right] \)

Step 2 ：\( \frac{1}{2}B=\left[\begin{array}{c} -4\\ -3\\ -9\end{array}\right] \)

Step 3 ：\( 4A-\frac{1}{2}B =\left[\begin{array}{c} -8\\ -17\\ 29\end{array}\right] \)