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 = (13, -9, 23) z = 1 18, 59 (b) V = - ([ V = (c) w = (2, -6, 10) W = (d) u = (7, 1, -1) u = ])-

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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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 = (13, -9, 23)
z =
+
v=(1, -)
= ([
59
(b)
18,
4
4
v =
(c)
w = (2, -6, 10)
w =
(d)
= (7, 1, -1)
] » - ([
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 = (13, -9, 23) z = + v=(1, -) = ([ 59 (b) 18, 4 4 v = (c) w = (2, -6, 10) w = (d) = (7, 1, -1) ] » - ([ u =
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