Let V = {u, v, w}whereu=(5, -1, 1), 7=(3,5,-5).Find that would make a DEPENDENT set of vectors (w must be different from u and 7):w = (00Then find that would make an INDEPENDENT set of vectors.(000)w = (

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Answered: Let V = {u, v, w} where u = (5, -1, 1),…

Let V = {u, v, w} where u = (5, -1, 1), v = (3,5,-5). Find that would make a DEPENDENT set of vectors (w must be different from u ar Then find that would make an INDEPENDENT set of vectors.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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Question

Let V = {u, v, w}
where
u=(5, -1, 1), 7=(3,5,-5).
Find that would make a DEPENDENT set of vectors (w must be different from u and 7):
w = (00
Then find that would make an INDEPENDENT set of vectors.
(000)
w = (

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Step 1: We give some definition and find the depedent set of vectors

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