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) Z= |) ₁₁+ ( (b) v = (13₁ - 1, 43) 4 V = (c) w = (2, -6, 10) )S₁ +

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) Z= |) ₁₁+ ( (b) v = (13₁ - 1, 43) 4 V = (c) w = (2, -6, 10) )S₁ +

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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Question

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)
Z =
(b) v
V =
(c)
w = (
(d)
U=
43
1 = (13₁ - 1, 4/³)
4
w = (2, -6, 10)
) ₁₁ + ( [
1
u = (2, 1, -1)
+
) ³₁ + (
) $₁
+
2
2
$2

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