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 = (11, -8, 20) )s; + ([ Z = 1 75 (b) v = ( 23, 4 4 V = + 1. (c) w = (2, -6, 10) )s; + (| W = (d) u = (3, 1, –1) u = 52

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 = (11, -8, 20)
)s, + (|
Z =
(m) v-(2, -)
75
V = ( 23,
4' 4
+
V =
(c) w = (2, -6, 10)
S2
w =
(d)
и%3D (3, 1, -1)
52
IS
+
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 = (11, -8, 20) )s, + (| Z = (m) v-(2, -) 75 V = ( 23, 4' 4 + V = (c) w = (2, -6, 10) S2 w = (d) и%3D (3, 1, -1) 52 IS + u =
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