Suppose S = {r,u, d} is a set of linearly independent vectors. If x = 2r + 2u + 2d, determine whether T = {r, u, x} 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 coefficier r+ u+ x = 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 x = 2r + 2u + 2d, determine whether T
{r, u, x} 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 O's for the coefficients.
r+
u+
x = 0.
Transcribed Image Text:Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 2r + 2u + 2d, determine whether T {r, u, x} 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 O's for the coefficients. r+ u+ x = 0.
Suppose S = {r,u, d} is a set of linearly independent vectors.
If x = 2r + 2u + 2d, determine whether T = {r,u, x} is a linearly independent set.
%3|
v Select an Answer
1. Is T linearly independent or dependent?
Linearly Independent
Linearly Dependent
n-trivial linear relation below. Otherwise, enter O's for the coefficients.
Transcribed Image Text:Suppose S = {r,u, d} is a set of linearly independent vectors. If x = 2r + 2u + 2d, determine whether T = {r,u, x} is a linearly independent set. %3| v Select an Answer 1. Is T linearly independent or dependent? Linearly Independent Linearly Dependent n-trivial linear relation below. Otherwise, enter O's for the coefficients.
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