(Worth 13 points total) Let \(A = \begin{bmatrix} 1 & -1 & 2…
(Worth 13 points total) Let \(A = \begin{bmatrix} 1 & -1 & 2 \\ 1 & 0 & 2 \\ 0 & -2 & 4\end{bmatrix}\) Part A) Find the inverse of \(A\) by row reducing \(\). You must write which row operation(s) you are using at each step. Part B) Use your \(A^{-1}\) from Part (a) to solve the following system. Simplify your final answer. \(\begin{align*} x – y + 2z &= 1 \\ 2x – 3y + 4z &= -3 \\ 5z – 2y &= 2\end{align*}\) Write your final answers in the text box below. Your written work will be submitted to Gradescope as soon as you submit on Canvas.