Answer
See work step by step
Work Step by Step
The matrix of the transformation is
\[
A=\left[\begin{array}{cc}
-1 & 0 \\
0 & 1
\end{array}\right]
\]
so the transformed data matrix is:
\[
A D=\left[\begin{array}{cc}
-1 & 0 \\
0 & 1
\end{array}\right]\left[\begin{array}{ccc}
5 & 2 & 4 \\
0 & 2 & 3
\end{array}\right]=\left[\begin{array}{ccc}
-5 & -2 & -4 \\
0 & 2 & 3
\end{array}\right]
\]
