Consider the following system of equations: x1 + x2 - 4x3 + 2x4 = 2 4x1 + x2 - 4x3 + 6x4 = 1 2x1x2 + 4x3 + 2x4 = -3 5 Find the parametric solution of this system. Decompose the solution into column vector form. Describe the geometry of the solution set. (Hint: Where does the solution live? What is the dimension of the solution space?)

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