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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

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 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
Transcribed Image Text: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
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