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) S2 Z = 75 (b) 23, 4' 4 V = S2 V = (c) w = (6, -8, 16) %3D S2 W = (d) u = (9, 1, –1) S2 u = +

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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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)
S2
Z =
75
(b)
23,
4' 4
V =
S2
V =
(c)
w = (6, -8, 16)
%3D
S2
W =
(d)
u = (9, 1, –1)
S2
u =
+
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) S2 Z = 75 (b) 23, 4' 4 V = S2 V = (c) w = (6, -8, 16) %3D S2 W = (d) u = (9, 1, –1) S2 u = +
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