S = {(2, –1, 3), (5, 0, 4)} (a) z = (5, -5, 11) %3D S, + 52 Z = 59 (b) V = | 18, 4 4 s. 22 V = (c) w = (8, -9, 19) %3D W =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
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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 =
+
(b)
1
18,
59
V =
4
V =
S2
(c)
w = (8, -9, 19)
W =
(d)
u = (4, 1, -1)
U =
Transcribed Image 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 = + (b) 1 18, 59 V = 4 V = S2 (c) w = (8, -9, 19) W = (d) u = (4, 1, -1) U =
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