Let ū, ī, ū be three linearly independent vectors in R". Determine whether the following sets of vectors are linearly independent or dependent. WARNING: you only have 1 attempt for this question since it is a true-false. It is conceptually difficult, possibly more than you think. Make sure you fully understand this type of question, it will be very important for us going forward. Select an Answer v 1. The set {ü – 7, ī – w, w – ū} Select an Answer 2. The set {ü + ū, i + w, w + ü}

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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linear independence 

Let ū, i, ū be three linearly independent vectors in R. Determine whether the following sets of vectors are linearly independent or dependent.
WARNING: you only have 1 attempt for this question since it is a true-false. It is conceptually difficult, possibly more than you think. Make sure you fully
understand this type of question, it will be very important for us going forward.
Select an Answer
1. The set {ü – ö, ð – w, w – ū}
Select an Answer
2. The set {ũ +i, i + w, ū+ ū}
Transcribed Image Text:Let ū, i, ū be three linearly independent vectors in R. Determine whether the following sets of vectors are linearly independent or dependent. WARNING: you only have 1 attempt for this question since it is a true-false. It is conceptually difficult, possibly more than you think. Make sure you fully understand this type of question, it will be very important for us going forward. Select an Answer 1. The set {ü – ö, ð – w, w – ū} Select an Answer 2. The set {ũ +i, i + w, ū+ ū}
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