Let u be a vector that is not a linear combination of {u₁, U₂, U3, }.Select the best statement.A. span{u₁, U₂, U3 } = span{U₁, U₂, U3, U4 } .B. We only know that span{u₁, U₂, U3} C span{U₁, U₂, U3, U4 } .C. There is no obvious relationship between span{u₁, U₂, U3} and span{u₁, U2, U3, U4}.D. span {u₁, U₂, U3} = span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others.E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4 } .F. We only know that span{u₁, U2, U3, U4} C span{u₁, U₂, U3} .G. none of the above

Answered: Image /qna-images/answer/ed7babeb-e075-4c6b-b7b4-f9622f24ef7f.jpg

Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U2, U3} = span{u₁, U₂, U3, U4}. B. We only know that span{u₁, U₂, U3} C span{u₁, U2, U3, U4 } . C. There is no obvious relationship between span {u₁, U₂, U3} and span{u₁, U₂, U3, U4}. = D. span {u₁, U₂, U3} span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4). F. We only know that span{u₁, U₂, U3, U4} C span{u₁, U₂, U3} G. none of the above

Let u4 be a vector that is not a linear combination of {u₁, U₂, U3, }. Select the best statement. A. span{u₁, U2, U3} = span{u₁, U₂, U3, U4}. B. We only know that span{u₁, U₂, U3} C span{u₁, U2, U3, U4 } . C. There is no obvious relationship between span {u₁, U₂, U3} and span{u₁, U₂, U3, U4}. = D. span {u₁, U₂, U3} span{u₁, U₂, U3, U4} when none of {u₁, U₂, U3, } is a linear combination of the others. E. span{u₁, U₂, U3} is a proper subset of span{u₁, U₂, U3, U4). F. We only know that span{u₁, U₂, U3, U4} C span{u₁, U₂, U3} G. none of the above

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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