1. Decide if p lies in the span of {v1, v2, v3}. If it does, find a linear combination that makes the vector.If it does not, show that no linear combination exists.p(x) = x − x³, v₁(x) = x², v2(x) = 2x + x², v3(x) = x+x³.

We determine if p(x) = x - x3 lies in the span of the vectors v1(x) = x2, v2(x) = 2x + x2, and…

Answered: 1. Decide if p lies in the span of {v1,…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...

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1. Decide if p lies in the span of {v1, v2, v3}. If it does, find a linear combination that makes the vector. If it does not, show that no linear combination exists. p(x) = x − x³, v₁(x) = x², v2(x) = 2x + x², v3(x) = x+x³.