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 = (3, -4, 8) Z = 1 27 (b) v = |8, 4 4 v = + (c) w = (3, -9, 15) w = (d) u = (7, 1, -1) u = +

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 = (3, -4, 8) Z = 1 27 (b) v = |8, 4 4 v = + (c) w = (3, -9, 15) 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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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 = (3, -4, 8)
Z =
1
27
(b)
v = |8,
4
4
v =
+
(c)
w = (3, -9, 15)
w =
(d)
u = (7, 1, -1)
u =
+

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