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Test the set S= { w, x, y, z} of the following 4 vectors to identify a subset U of 3 of them that will be sufficient to span the Euclidean space R'. To prove that your selection is correct, express now an arbitrary vector b in that space, b = (b1, b2, b3 ) E R3, as a linear combination of the vectors you included in U. w, x, y, Z := (1, 1, -2), (2, 3, 0), (0, 1, 4), (2, -1, 1); W , X , y , Z : (4.1 Check that your linear combination is correct. Solution:Question 5 > restart: with(LinearAlgebra) : Consider a vector > v:= (-9,10,8); -9 v = 10 8 andthe matrix A := Transpose(((1,2, 3)|(220'1)|('49493)))5 1 2 3 2 0 1 -4 4 3 (a) Determine whether the vector v is in the span of column vectors of A or not. Justify your answer. (b) Determine whether the given vector v is in the span of row vectors of A or not. Justify your answer. Solution : (a)