Suppose S = {r, u, d} is a set of linearly independent vectors. If x =r + 2u + 5d, 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 =r + 2u + 5d, 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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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Suppose S={r,u,d}S={r,u,d} is a set of linearly independent vectors.
If x=r+2u+5dx=r+2u+5d, determine whether T={r,u,x}T={r,u,x} is a linearly independent set.
1. Is T linearly independent or dependent?
SELECT ANSWER CHOICES - LINEARLY INDEPENDENT, LINEARLY DEPENDENT.
If T is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients.
r+r+ u+u+ x=0x=0.
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