2 For the following set of equations: Ax 1 2 1 1 1 2 2 1 1 x y z = 4 6 1 b where the inverse of the matrix above is A1 = 1 14 3 1 5 5 3 1 1 5 3 . (a) Solve for the three variables x, y and z, using augmented matrix method. Check if your results match previous week's results. (b) Using augmented matrix method, check if given A1 is correct. (c) How else could you check if given A1 is correct? Use this method as well. (d) Show, using your solution for x, y, and z, that x = x y zT is given by x = A1b. NOTE: We introduced a new short-hand notation above. From the transpose we see x y zT = x y z