Answer
False
Work Step by Step
We analyze these matrices to see whether a composition of two stretches is a stretch:
$\begin{bmatrix}
x & 0 \\
0 &1
\end{bmatrix} $$\begin{bmatrix}
1 & 0 \\
0 &y
\end{bmatrix}=\begin{bmatrix}
x & 0 \\
0&y
\end{bmatrix}
$
These matrices is not in form of a strech when both the x-axis and y-axis remain fixed. Thus, a statement is not correct
