Find values of $x$ so that the matrix is invertible Find values of $x$ so that the matrix is invertible
$$A=\begin{pmatrix}
x &  0 & x \\
x &  2 &  1 \\
2x &  0 &   2x \\
\end{pmatrix}$$
I know that a matrix is invertible if determinant is not $0$, but I don't know how to find the $x$ values. I feel is a tricky question and this matrix will not be invertible no matter which value $x$ takes, but I don't know how to prove that either.

Note that $\forall x, R_3=2R_1\implies Rank(A)<3\implies \det(A)=0$.
