Question 1 10 pts Given the system of simultaneous equations: x- y - 2z = -8 -4x + 2y + 2z = 12 -3x - 3z = -6 a. Use Gaussian elimination to determine the ranks of the coefficient matrix (A) and the augmented matrix (AB). Hence, comment on the consistency of the system and the nature of the solutions. b. Find the solution(s) if any. Note: Calculator is not allowed, and all relevant steps must be shown to get full marks