Problem 3 [30 points: (10 pt each)]: Solving Linear Systems For each of the linear systems below: . Express the system as an augmented matrix . Use Gauss Jordan Elimination (row reduction) to bring the augmented matrix to Reduced Row Echelon Form . Document each of your row operations as shown in class (c.g. T2 = 12 - To where r; refers to an old row of the matrix and r, refers to a new row) . Express all solutions to the system as a vector equation or state that no solutions exist You may use the sympy library's rref function (see programming portion or class notes for syntax) to check (not justify) your work. x + 5y = 7 -r + 4y = 2 3r + ly = 7 cty = 10 cty = 12 iii + + 2y = 1 c + 2z = - 2y - 2z = 2