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3. Find (a) a basis for, and (b) the dimension of, the solution space of the following homogeneous system of linear equations. -x+y+z=0 3x, + 3x2 + 15x3 + 11x4 = 0 i) 3x - y = 0 ii ) x1 - 3x2+ X3+ X4=0 2x - 4y - 5z = 0 2x, + 3x2 + 11x3 + 8x4 = 0