Show that the given matrix equation is equivalent to the system [math]\begin{cases} 6x - 2y + 3z = 8 \\ x – 4z = 10 \\ 5x + 9y + 2z = -3 \end{cases}[/math].
[list=1] [*]Multiply matrix [i]A[/i] by vector matrix [i]X[/i]. [*]Use the result to rewrite the original matrix equation. [*]Write each set of corresponding entries as an equation. [/list]