Problem
Given the matrices \( A \) and \( B \) shown below, find \( B-\frac{1}{5} A \). \[ A=\left[\begin{array}{ll} 10 & -25 \end{array}\right] \quad B=\left[\begin{array}{ll} -9 & 8 \end{array}\right] \]
Solution
Step 1 ：1. \(\frac{1}{5}A = \left[\begin{array}{ll} 2 & -5 \end{array}\right]\)
Step 2 ：2. \(B - \frac{1}{5}A = \left[\begin{array}{ll} -9 & 8 \end{array}\right] - \left[\begin{array}{ll} 2 & -5 \end{array}\right]\)
Step 3 ：3. \(B - \frac{1}{5}A = \left[\begin{array}{ll} -11 & 13 \end{array}\right]\)
