6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a linear combination b. Determine whether 7 = (16, 11, –24) can be written as a linear combina- tion of p = (-2, 3, 4) and ở = (4, 1, –6). Explain the significance of your result geometrically.

6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a linear combination b. Determine whether 7 = (16, 11, –24) can be written as a linear combina- tion of p = (-2, 3, 4) and ở = (4, 1, –6). Explain the significance of your result geometrically.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 21EQ

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