I would like to display with LaTeX the start of calculation below

Code: Select all
A.X=0 \Longleftrightarrow
\[M(A)=\left(
\begin{array}{*{2}{c}}
4&-2\\
5&-3\\
\left(
\begin{array}{*{1}{c}}
X\\
Y
\end{array} \right)\] =0 \Longleftrightarrow
\begin{cases}
4x-2y=0\\
6x-2y=0\\
\end{cases}
Could you help me solve this little problem.
Thank you!
See you soon
I tried to do. It caused a lot of bugs, I think the mix of text and number and tag issues.