Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (5, –5, 11) z = + 2 (b) v-(s, -) 1 27 V = 4 4 v = |S1 S2 (c) w =...

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Extracted text: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (5, –5, 11) z = + 2 (b) v-(s, -) 1 27 V = 4 4 v = |S1 S2 (c) w = (2, -6, 10) $1 + S2 W = (d) u = (7, 1, –1) + S2 u =


Extracted text: Find a basis for the column space and the rank of the matrix. 2 -3 -6 4 7 -6 -3 14 -2 1 -2 -4 2 -2 -2 4 (a) a basis for the column space (b) the rank of the matrix