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 = (b) V = (c) W = (d) U = v = (18,-1, 59) w = (4, -7, 13) S₁ + u = (3, 1, -1) S₁ + )$₁ S1 + S₁ + S2 S2
Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, 1, 3), (5, 0,4)} (a) z = (11,-8, 20) Z = (b) V = (c) W = (d) U = v = (18,-1, 59) w = (4, -7, 13) S₁ + u = (3, 1, -1) S₁ + )$₁ S1 + S₁ + S2 S2
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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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 = (11,-8, 20)
Z =
(b)
V =
(c)
W =
(d)
u =
v = (18,-1, 50)
W = (4, -7, 13)
S₁ +
u =(3, 1, -1)
S₁ +
)$₁
S1 +
S₁ +
) $₂
S2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7515da3-ce1f-46f4-afa5-a3c718ad7f99%2Fcc6fe17c-90ac-441f-8bab-1634622401c3%2Fb91hkpn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(2, 1, 3), (5, 0,4)}
(a) z = (11,-8, 20)
Z =
(b)
V =
(c)
W =
(d)
u =
v = (18,-1, 50)
W = (4, -7, 13)
S₁ +
u =(3, 1, -1)
S₁ +
)$₁
S1 +
S₁ +
) $₂
S2
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