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) (0) v-(3. -) (b) =| 8, v = s, + (c) w = (2, -6, 10) W = (d) u = (3, 1, -1) ] )=. - ([ u =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 = (1, -3, 5)
s, +
Z =
27
(b)
8,
V
4
V =
(c)
w = (2, -6, 10)
w =
s, +
(d)
= (3, 1, -1)
u =
+
52
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 = (1, -3, 5) s, + Z = 27 (b) 8, V 4 V = (c) w = (2, -6, 10) w = s, + (d) = (3, 1, -1) u = + 52
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