4. For each of the following sets S of vectors in a vector space V, determine whether the elements of S are linearly independent or not and whether they span the whole of V. You may use the calculation techniques using matrices that you know from your previous linear algebra modules, even though we haven't got to them yet in this module! S = {(1,2,0), (2, 1, 3), (3, 0, -1)}, V = R³, S = {(1+i, 1-i), (i, 1), (2, 1+i)}, V = C²

4. For each of the following sets S of vectors in a vector space V, determine whether the elements of S are linearly independent or not and whether they span the whole of V. You may use the calculation techniques using matrices that you know from your previous linear algebra modules, even though we haven't got to them yet in this module! S = {(1,2,0), (2, 1, 3), (3, 0, -1)}, V = R³, S = {(1+i, 1-i), (i, 1), (2, 1+i)}, V = C²

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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