Question 1 Systems of Linear Equations Consider the system of equations 23: + 53; + 82: = 30 1: + 43; + 72 : 24 3:3 + 63; + 92 : 36 in real variables 2:, y and z. (a) What is the rank of the augmented matrix? What is the rank of the coefficient matrix? What does this tell you about whether the system is consistent and the number of free variables? (b) Find the solution set of the system of equations in (a).(c) Describe the solution set geometrically