Answer
False
Work Step by Step
A shear parallel to the x-axis composed with a shear parallel to the y-axis is not a shear. Let's take a look at this matrix:
$\begin{bmatrix}
1 & k \\
0 & 1
\end{bmatrix} $ $\begin{bmatrix}
1 & 0 \\
k & 1
\end{bmatrix} =$ $\begin{bmatrix}
x+ky\\
y
\end{bmatrix} $
Thus, a composition of two shears is not a shear
