Solve the following linear system:
x1+2x2+x3=2
x1+2x2​−x3=4
x1−2x2+x3​=−2
If you used Gaussian Elimination or Gaussian Jordan Elimination in 6, then you may use either LU Factorization or finding the inverse matrix and computing x=A⁻¹ b. Otherwise, if you used a different method, then you may use one of the remaining methods listed in 6 that you did not use. (a) Clearly state which method you are using.