6. Consider the following system of equations: 3x1-x3 + 2x4x5 = 1 x13x2+x33x4 + 2x5 = −1 - 4x1-2x2-3x3 + 6x4 - x5 = 5 x4 + 4x5 = -2 a. Construct the matrix equation and the augmented matrix for the above system. b. The reduced row echelon form for the system is: [1 0 0 0 0 100 -16/7 33/7 -2/7 -2/7 0 0 1 0 15/7-41/7 Lo 0 0 1 4 -2 Write the solution to the system in parametric and vector form. Then describe the solution geometrically.

Fig: 1