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 = (26, 55, -40, 2) U = 1 + (52 (b) = (43, 1143- V = + (c) =(-4, -14, 29, 51) W = + 52 (d) z = (12, -6, 9, 39) Z = 51 + y -18, 13)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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 = {(6, 7, 8, 6), (4, 6, −4, 1)}
(a) U = (26, 55, 40, 2)
U=
+
(b) v = (43, 113,
(43,
113, -18, 13)
V =
1 +
$2
(c)
w = (-4, -14, 29, 51)
W =
1 +
(d) z = (12,-6, 9,
z =
9, 39)
.
1 +
52
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 = (26, 55, 40, 2) U= + (b) v = (43, 113, (43, 113, -18, 13) V = 1 + $2 (c) w = (-4, -14, 29, 51) W = 1 + (d) z = (12,-6, 9, z = 9, 39) . 1 + 52
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