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, -3, 5) Z = (b) V = = (18,- 1, 50) 4 W = V= (c) w = (4, -7, 13) + 1)₁₁ + ( [

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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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 =
Z =
V =
(b) v-(18,-)
4
W =
= (1, -3, 5)
(d)
(c) w = (4, -7, 13)
U=
V=
) ₁₁ + ( [
59
50)
u =(3, 1, -1)
+
)5₁ + (
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 = Z = V = (b) v-(18,-) 4 W = = (1, -3, 5) (d) (c) w = (4, -7, 13) U= V= ) ₁₁ + ( [ 59 50) u =(3, 1, -1) + )5₁ + (
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