Linear algebra question

(a) Suppose a linear system in the unknowns x1, x2, x3, It has general solution (x; + 3);; + 4. x2, x4 2x2, xs) for arbitrary x2, It. Find an augemented matrix A: that represents the linear system with this solution. then nd its redqu row echelon form. Pick the matrix with the smallest dimensions {i.e., do not include any all zero rows}. (b) Use the reduced row echelon form of j to nd a general solution to the system. Note that your solution will look dierent from the solution from part (a) (in particular, it; and is; should be your free variables). (c) 1tierify that your solution from part (b) is equivalent to the general solution from part (a) by rearranging the equations so that x; and x4 are the free variables instead of x; and x4