{r, u, d) is a set of linearly independent vectors. If x = 3r+ 5u + 2d, determine whether T = {r, u, x} is a linearly independent set. Select an Answer 1. Is I linearly independent or dependent? Suppose S = If I is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. r+ u+ x = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 29E
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Suppose S = {r, u, d} is a set of linearly independent vectors.
If x = 3r+ 5u + 2d, determine whether T = {r, u, x} is a linearly independent set.
Select an Answer
1. Is I linearly independent or dependent?
If I' is dependent, enter a non-trivial linear relation below. Otherwise, enter 0'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 = 3r+ 5u + 2d, determine whether T = {r, u, x} is a linearly independent set. Select an Answer 1. Is I linearly independent or dependent? If I' is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients. r+ u+ x = 0.
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