Suppose S = {r, u, d) is a set of linearly independent vectors. If z = 2r + 4u + 2d, determine whether T = {r, u, z} is a linearly independent set. Select an Answer 1. Is T linearly independent or dependent? If T is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients. r+ u+ z = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose S = {r, u, d) is a set of linearly independent vectors.
If z = 2r + 4u + 2d, determine whether T = {r, u, z} is a linearly independent set.
Select an Answer
1. Is T linearly independent or dependent?
If T is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients.
r+
u+
z = 0.
Transcribed Image Text:Suppose S = {r, u, d) is a set of linearly independent vectors. If z = 2r + 4u + 2d, determine whether T = {r, u, z} is a linearly independent set. Select an Answer 1. Is T linearly independent or dependent? If T is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients. r+ u+ z = 0.
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