Given the system of equations
8x1 + 2x2 - 2x3 = -2
10x1 + 2x2 + 4x3 = 4
12x1 + 2x2 + 2x3 = 6
(a) Compute the determinant.
(b) Use Cramer’s rule to solve for the x’s.
(c) Use Gauss elimination with partial pivoting to solve for the x’s.
(d) Substitute your results back into the original equations to check your solution