Consider-1-4000and W = span=36Is in W¹? Select the best answer.O No, since orthogonality only makes sense in R2 and R³No, since is not orthogonal to all of the vectors in WYes, since is orthogonal to each vector in WYes, since is not not a linear combination of the given vectors that span WNo, since the vectors that span W do not form an orthogonal basisYes, since is not in W, dim (W) = 3 and dim (R¹)= 4Yes, since projw (v) is in W

Answered: Image /qna-images/answer/0a869d7f-b0b2-4c46-9591-b5874978aff7.jpg

Consider = and W = span Is in W¹? Select the best answer. 006 O No, since orthogonality only makes sense in R² and R³ No, since is not orthogonal to all of the vectors in W Yes, since is orthogonal to each vector in W ● Yes, since v is not not a linear combination of the given vectors that span W No, since the vectors that span W do not form an orthogonal basis Yes, since v is not in W, dim (W) 3 and_dim (R¹) = 4 O Yes, since projw(v) is in W =

Consider = and W = span Is in W¹? Select the best answer. 006 O No, since orthogonality only makes sense in R² and R³ No, since is not orthogonal to all of the vectors in W Yes, since is orthogonal to each vector in W ● Yes, since v is not not a linear combination of the given vectors that span W No, since the vectors that span W do not form an orthogonal basis Yes, since v is not in W, dim (W) 3 and_dim (R¹) = 4 O Yes, since projw(v) is in W =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 1AEXP

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