(1 point) Solve the following system using augmented matrix methods: -22-5x-3x3--18. 42, +522 +223-15 -1921-2522 102-77 (a) The initial matrix is: 4 (b) First, perform the Row Operation R R The resulting matrix is: (c) Next, perform the operations -4R + R R +19R + R3 R. The resulting matrix is (188318) (d) Finish simplifying the augmented matrix down to reduced row echelon form. The reduced matrix is: Remember This matrix must be simplified all the way to reduced form. (e) How many solutions does the system have? If infinitely many, enter "Infinity". (0) What are the solutions to the system? Z1 = 7 Z3 = Note: If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions, and =t and solve for the remaining the solution set describes a line (that is, if there is only one free variable), set z variables in terms of t. If there a infinitely many solutions, and the solution set describes a plane (that is, if the solution t and za =s, and then solve for in terms of s and t set has two free variables), set the variables 3 =