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In matrix form, the system of equations S = {2x - 2y + z + 2w = 2 4x - 4y + 3z + 6w

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In matrix form, the system of equations S = {2x - 2y + z + 2w = 2 4x - 4y + 3z + 6w = 3 6x - 6y + 5z + 9w = 2 -36x + 36y - 30z - 56w = -16 yields the augmented coefficient matrix (x 2 4 6 -36 y -2 -4 -6 36 z 1 3 5 -30 w 2 6 9 -56 rhs 2 3 2 -16) for which a row echelon form (REF) is (x 2 0 0 0 y -2 0 0 0 z 1 1 0 0 w 2 2 -1 0 rhs 2 -1 -2 0). Continue the reduction of the augmented matrix to produce its reduced row echelon form (RREF) Fill in the blanks below to give the complete solution to the system. The entry for a free variable should be itself. x = y = z = w =

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