(7 points) Consider the following linear system S 2w + x + y +z = a w+y+z= b W+y= 2
(a) (3 points) Determine the dimension of the space of the solutions and the set of solutions of system S employing Gaussian elimination.
(b) (4 points) Assume that a fourth equation w + ky 1, where k is a real parameter, is added to the system. Determine the set of solutions of the new system depending on the parameter k.
Determine the dimension of the space of the solutions and the set of solutions of system S employing Gaussian elimination.
