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 = (11,-8, 20) 8 Z = (b) v = (18,-1, 59) V = (c) W = 7 w (4, -7, 13) (d) u =(3, 1, -1) $1 + -1 7 )5₂ + (12 ) ₁₁ + (-2 )S₂ )s₂

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 = (11,-8, 20)
Z
z = ( 8
(b)
V =
(c)
W =
(d)
U =
-(18,-1, 59)
V =
w (4, -7, 13)
7
u = (3, 1, -1)
$1 + -1
) S₁ + (17/1/2
)$₁ + (-2
|) ₁₁+ (
)S₂
$₂
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 = (11,-8, 20) Z z = ( 8 (b) V = (c) W = (d) U = -(18,-1, 59) V = w (4, -7, 13) 7 u = (3, 1, -1) $1 + -1 ) S₁ + (17/1/2 )$₁ + (-2 |) ₁₁+ ( )S₂ $₂
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