Determine whether the set of vectors in P2 is linearly independent or linearly dependent.S = {2 + 3x + x², -2 + x + 2x², 4x}O linearly independentO linearly dependent Determine whether S is a basis for P3.S = {2 – t, t³, 7t?, 8t + t3, –1 + 2t}S is a basis of P3.O S is not a basis of P3.

As per Bartleby guideline, we have answered only the 1st question. To get the answer of 2nd…

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Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S = {2 + 3x + x², -2 + x + 2x², 4x} O linearly independent linearly dependent

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...

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Question

Determine whether the set of vectors in P2 is linearly independent or linearly dependent.
S = {2 + 3x + x², -2 + x + 2x², 4x}
O linearly independent
O linearly dependent

Determine whether S is a basis for P3.
S = {2 – t, t³, 7t?, 8t + t3, –1 + 2t}
S is a basis of P3.
O S is not a basis of P3.

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