Suppose S={r,u,d} is a set of linearly independent vectors. If x=3r+5u+3d, determine whether T={r,u,x} is a linearly independent set.  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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose S={r,u,d} is a set of linearly independent vectors.

If x=3r+5u+3d, determine whether T={r,u,x} is a linearly independent set.

 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+
x = 0.
Transcribed Image Text:r+ u+ x = 0.
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