Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S= {(1, 2, –2), (2, –1, 1)} (a) z = (-7, 1, -1) z = -71 (b) v = (-1, -6, 6) v = IMPOSSIBLE (c) (0, -15, 15) W = w = IMPOSSIBLE (d) = (3, -4, -4) u = IMPOSSIBLE

Write each vector as a linear combination of the vectors in S. (Use s, and s2, respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) S= {(1, 2, –2), (2, –1, 1)} (a) z = (-7, 1, -1) z = -71 (b) v = (-1, -6, 6) v = IMPOSSIBLE (c) (0, -15, 15) W = w = IMPOSSIBLE (d) = (3, -4, -4) u = IMPOSSIBLE

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...

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