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 = (13, -9, 23) ] )»- - ([ v- (1, -4) 59 (b) 18, v = S1 + (c) w = (2, -6, 10) W = S1 + (d) u = = (3, 1, -1) u = S1 +

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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Solve completely. Box your answers.
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 =
= (13, -9, 23)
Z =
S1
+
59
(b)
v =
18,
4
v-(|
V =
S1
52
(c)
w = (2, -6, 10)
w =
$1 +
(d)
u =
= (3, 1, -1)
u =
S1 +
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 = = (13, -9, 23) Z = S1 + 59 (b) v = 18, 4 v-(| V = S1 52 (c) w = (2, -6, 10) w = $1 + (d) u = = (3, 1, -1) u = S1 + 52
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