W4 Pick any vector space V that you want, as long as dim(V) ≥ 6. Then, pick 4 vectors in the space, say W = {w₁, w₁, W3, w}} that have the following property: 1. Applying the plus/minus theorem, you can pick two vectors from W, say W' = {wi, w2} so that span(W') = span(W). Prove, using the minus part of the plus/minus theorem that your vectors meet the above conditions. Then, explain in words how you created your set of vectors so that this worked out.

W4 Pick any vector space V that you want, as long as dim(V) ≥ 6. Then, pick 4 vectors in the space, say W = {w₁, w₁, W3, w}} that have the following property: 1. Applying the plus/minus theorem, you can pick two vectors from W, say W' = {wi, w2} so that span(W') = span(W). Prove, using the minus part of the plus/minus theorem that your vectors meet the above conditions. Then, explain in words how you created your set of vectors so that this worked out.

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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