each vector as a linear combination of the vectors in S. (If not possible, en s = {(6, -7, 8, 6), (4, 6, -4, 1)} (a) u = (6, 25, -20, -3) u 52 (ь) -10, 2 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)
$1 +
u =
(4, 5 -10, 2)
41 75
(b)
(c)
(-4, -14, 23, 37)
w =
8
1 +
(4) z- (14, -3, 7, 4)
(d)
z =
z =
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) $1 + u = (4, 5 -10, 2) 41 75 (b) (c) (-4, -14, 23, 37) w = 8 1 + (4) z- (14, -3, 7, 4) (d) z = z =
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