$X$ and $Y$ are two $3$ by $3$ matrices. If
\[
X Y=\left(\begin{array}{rrr}
1 & 3 & -2 \\
-4 & 2 & 5 \\
2 & -8 & -1
\end{array}\right)
\]
then
- $X$ has rank $2$
- at least one of $X, Y$ is not invertible
- $X$ can't be an invertible matrix
- $X$ and $Y$ could both be invertible.
- None of the above