15.Let v1-11(a) Show that the set B= {v1,02, 03} is a basis for R³.(b) With B as in (a), find the coordinates for x =in the basis B. That is, find [x]g.2(c) If [x]B :then what is x in the standard basis?1

The given question is related with vector space. Given that, v1→ = 123 , v2→ = -121…

-1 5. Let v1 2 3 1 (a) Show that the set B= {ū1, 02, 03} is a basis for R³. (b) With B as in (a), find the coordinates for x = 1 in the basis B. That is, find [x]B. 1 (c) If [x]8 = then what is x in the standard basis? -1 1

-1 5. Let v1 2 3 1 (a) Show that the set B= {ū1, 02, 03} is a basis for R³. (b) With B as in (a), find the coordinates for x = 1 in the basis B. That is, find [x]B. 1 (c) If [x]8 = then what is x in the standard basis? -1 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section: Chapter Questions

Problem 10RQ

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Question

1
5.
Let v1
-1
1
(a) Show that the set B= {v1,02, 03} is a basis for R³.
(b) With B as in (a), find the coordinates for x =
in the basis B. That is, find [x]g.
2
(c) If [x]B :
then what is x in the standard basis?
1

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