Answered: Show that W is a subspace of R¹. | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section: Chapter Questions

Problem 3RQ

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Walo please just do part A

Problem 8. In R4, let W be the subset of all vectors
a1
a2
V =
a4
that satisfy a4 a3 = a2a1.
(a)
Show that W is a subspace of R4.
(b)
Introduce the subset
S =
{@H -0.00}
of W. Verify that S is a spanning set of W.
(c)
Find a subset of S that is a basis for W.
7

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Find a basis for the subspace of R3 spanned by S.S = {(4, 4, 8), (1, 1, 2), (1, 1, 1)}
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