Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(6, -7, 8, 6), (4, 6, -4, 1)} (a) u = (6, 25, -20, -3) J: + (3 u = -1 52 (b) -10, 2) 3 -- F1 + 4 52 2 (c) 57 w = -4, -14, -)- 7 13 4 = (14, -3, 7, (d) 41 z = b1 + $2

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 = {(6, -7, 8, 6), (4, 6, -4, 1)}
(a)
u = (6, 25, -20, -3)
J: + (3
u =
-1
52
(b)
-10, 2)
3
--
F1 +
4
52
2
(c)
57
w =
-4, -14,
-)-
7
13
4
= (14, -3, 7,
(d)
41
z =
b1 +
$2
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(6, -7, 8, 6), (4, 6, -4, 1)} (a) u = (6, 25, -20, -3) J: + (3 u = -1 52 (b) -10, 2) 3 -- F1 + 4 52 2 (c) 57 w = -4, -14, -)- 7 13 4 = (14, -3, 7, (d) 41 z = b1 + $2
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