Let W be the set of all vectors of the form shown on the right, where a, b, and crepresent arbitrary real numbers. Find a set S of vectors that spans W or give anexample or an explanation to show that W is not a vector space.Select the correct choice and fill in the answer box as needed to complete your choice.O A. A spanning set is S = {}.(Use a comma to separate answers as needed.)There is no spanning set of W because W does not contain the zero vector.B.C. There is no spanning set of Wbecause W is not closed under vector addition.D. There is no spanning set of Wbecause W is not closed under scalar multiplication.9a - 3b8b + 8c6c-4a6b

Answered: Image /qna-images/answer/804541ab-5c18-4eeb-9911-53e876199a21.jpg

Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. Select the correct choice and fill in the answer box as needed to complete your choice. A. A spanning set is S = { (Use a comma to separate answers as needed.) B. There is no spanning set of W because W does not contain the zero vector. C. There is no spanning set of W because W is not closed under vector addition. D. There is no spanning set of W because W is not closed under scalar multiplication. 9a - 3b 8b + 8c 6c-4a 6b

Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. Select the correct choice and fill in the answer box as needed to complete your choice. A. A spanning set is S = { (Use a comma to separate answers as needed.) B. There is no spanning set of W because W does not contain the zero vector. C. There is no spanning set of W because W is not closed under vector addition. D. There is no spanning set of W because W is not closed under scalar multiplication. 9a - 3b 8b + 8c 6c-4a 6b

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 33EQ

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