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Write each vector as a linear combination of the vectors in S. (Use 5₁ and 52, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, -2), (2, -1, 1)} (a) z = (-4, -3, 3) Z = (b) v= (-2,-5, 5) V = (c) w = (-2, -19, 19) W = (d) u (1, -6, -6) U =

Write each vector as a linear combination of the vectors in S. (Use 5₁ and 52, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, -2), (2, -1, 1)} (a) z = (-4, -3, 3) Z = (b) v= (-2,-5, 5) V = (c) w = (-2, -19, 19) W = (d) u (1, -6, -6) U =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write each vector as a linear combination of the vectors in S. (Use $₁ and 52, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, 2), (2, -1, 1)} (a) z = (-4, -3, 3) Z = (b) v = (-2, -5, 5) V = (c) W = w = (-2, -19, 19) (d) u = (1, -6, -6) U =
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (Use $₁ and 52, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S = {(1, 2, 2), (2, -1, 1)} (a) z = (-4, -3, 3) Z = (b) v = (-2, -5, 5) V = (c) W = w = (-2, -19, 19) (d) u = (1, -6, -6) U =
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