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 = (b) V = W = (d) U = Z = = 7,- 6,14 (7, -6, 14) 43 v = (13, - - #2) V = w (6, 8, 16) U = = (8, 1, -1) )$₁ 1) $₁ + ( [ + + + 5,0,4 52 X

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 = (b) V = W = (d) U = Z = = 7,- 6,14 (7, -6, 14) 43 v = (13, - - #2) V = w (6, 8, 16) U = = (8, 1, -1) )$₁ 1) $₁ + ( [ + + + 5,0,4 52 X

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 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)

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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 =
(b)
V =
W =
(d)
= (7, -6, 14)
7,- 6,14
(c) w = (6,-8, 16)
U =
Z =
X
43
v = (13, - - #2)
S₁ +
U = = (8, 1, -1)
)$₁
+
+
+
5,0,4
52
X

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Similar questions

Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .
Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)

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