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 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 = (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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9dc9ea8-e669-4e2b-8609-37f66093a1e7%2Feb3dc499-e9de-45ed-8efa-13bcfe77fc41%2Fe1s6x8_processed.png&w=3840&q=75)
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)
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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