Given that $A = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 1 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 2 -1 & 5 \end{bmatrix}$. Find AB. Hence, using this to solve the following system of linear equations. $x-y=3;\: 2x+3y+4z=17; \: y+2z=7$

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