Answered: (1) Recalled that for ₁, U2, U3, U₁ €… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 4EQ

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Question

(1)
Recalled that for ₁, U2, U3, U₁ € R¹, then the span of these four vectors
are defined as
Suppose
span {0₁, 0₂, 03, 0₁} = {av₁ + bû₂ + cũ3 + du: a, b, c, d = R}.
--0---0
=
=
are in the set called
2
3
7
V3
Determine whether the following vectors in Rª
().
=
(O)
3
and ₁=
()
span {1, 02, 03, 04₁}.
Hint: You should make an argument that minimize the amount of computation,
and don't have to solve some equations 5 times. Does the given set span R¹?

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