What is
\[
\max _{x, y}\left[\begin{array}{ll}
x & y
\end{array}\right]\left[\begin{array}{cc}
3 & \sqrt{2} \\
\sqrt{2} & 2
\end{array}\right]\left[\begin{array}{l}
x \\
y
\end{array}\right]
\]
subject to
\[
x^{2}+y^{2}=1 ?
\]
- $1$
- $\sqrt{2}$
- $2$
- $3$
- $4$