3 Is the set of functions (taken from a vectorspace & consisting of all functions of the realnumbers):{ 0, 1, sin´t, cos´t, cos 2t }a subspace? Justify your answer.COS

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Answered: Is the set of functions (taken from a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 43EQ

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Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Prove that the set of all singular 33 matrices is not a vector space.
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Is the set of functions (taken from a vector space consisting of all functions of the real numbers): { 0, 1, sin´t, cos´t, cos 2t } a subspace? Justify your answer.