Explain why S is not a basis for P2.S = {1 - x, 1 - x², -1 – 5x + 6x?}S is linearly dependent.O s does not span P2.O is linearly dependent and does not span P2.

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Answered: S is linearly dependent.

Math

Algebra

S is linearly dependent.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.2: Orthogonal Complements And Orthogonal Projections

Problem 6EQ

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Question

Explain why S is not a basis for P2.
S = {1 - x, 1 - x², -1 – 5x + 6x?}
S is linearly dependent.
O s does not span P2.
O is linearly dependent and does not span P2.

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