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 = (-1, -2, 2) Z = S1 + |S2 v = (8, - 1 27 4' 4 (b) S2 V = (c) w = (1, -8, 12) S2 W =

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 = (-1, -2, 2) Z = S1 + |S2 v = (8, - 1 27 4' 4 (b) S2 V = (c) w = (1, -8, 12) S2 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 28E

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Question

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 = (-1, -2, 2)
S2
Z =
1 27
(b)
V =
8,
4
4
)s: + (
S2
V =
S1
(c)
w = (1, -8, 12)
S1 +
S2
W =
(d)
u = (1, 1, –1)
S2
u =

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