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

Answer

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Answer

3. \(B - \frac{1}{5}A = \left[\begin{array}{ll} -11 & 13 \end{array}\right]\)

Steps

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. \(B - \frac{1}{5}A = \left[\begin{array}{ll} -11 & 13 \end{array}\right]\)