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=(5, -5, 11) Z= (b) V = (c) W = (d) U= v - (13,-1, 42³) w=(3,-9, 15) u= (1, 1, -1) ( + )=₁.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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))
z=(5, -5, 11)
z =
(b)
V =
(c) w (3,-9, 15)
W =
(d)
U=
v = (13,-1, 43)
)s₁
u= (1, 1, -1)
+
) s₁ -
+
)S₁
+
$₂
)$₂
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)) z=(5, -5, 11) z = (b) V = (c) w (3,-9, 15) W = (d) U= v = (13,-1, 43) )s₁ u= (1, 1, -1) + ) s₁ - + )S₁ + $₂ )$₂
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