ral matix expresse particule EXERCISES 2.8 A is TON Exercises 1-4 display sets in R2. Assume the sets include the bounding lines. In each case, give a specific reason why the set H is not a subspace of R2. (For instance, find two vectors in H whose sura is not in H, or find a vector in H with a scalar multiple that is not i H. Draw a picture.) 7. Let vi equation f A have р3D 1. а. Но b. Hо с. Is 8. Let v 14 9 2. 2, and 5 ect linear 9. With 10. With in Nu In Exercis subspace eeded t , because e relation } is als 11. А 3D 3. 12. А - 13. For non 4. 14. For non A.T nstance can Determi Justify e 15. Deter- 2 and w = 5. Let vi -5 3 V2 8 -5 mine if w is in the subspace of R generated by vi and v2. 17.

ral matix expresse particule EXERCISES 2.8 A is TON Exercises 1-4 display sets in R2. Assume the sets include the bounding lines. In each case, give a specific reason why the set H is not a subspace of R2. (For instance, find two vectors in H whose sura is not in H, or find a vector in H with a scalar multiple that is not i H. Draw a picture.) 7. Let vi equation f A have р3D 1. а. Но b. Hо с. Is 8. Let v 14 9 2. 2, and 5 ect linear 9. With 10. With in Nu In Exercis subspace eeded t , because e relation } is als 11. А 3D 3. 12. А - 13. For non 4. 14. For non A.T nstance can Determi Justify e 15. Deter- 2 and w = 5. Let vi -5 3 V2 8 -5 mine if w is in the subspace of R generated by vi and v2. 17.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section: Chapter Questions

Problem 5RQ

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