If `A=[[2,3,4],[1,-1,0],[0,1,2]]`, find `A^(-1)`. Hence, solve the system of equations
x-y=3,
2x+3y+4z=17,
y+2z=7

Explanation

To solve the problem step by step, we will first find the inverse of the matrix \( A \) and then use it to solve the system of equations.

### Step 1: Find the Determinant of Matrix \( A \)

Given:
\[
A = \begin{bmatrix}
2 & 3 & 4 \\
...