Please go through each option with explanation Consider the vector space P3 of polynomials of degree at most 2.Some of the statements about the polynomialsx – 1x+ 2x? + 3are correct and some are incorrect. Select the correct statements.If we remove the third polynomial from the list, the remaining two polynomialsx – 1x+ 2span a 1-dimensional subspace of P3.| These three polynomials are linearly independent because the only zero linearcombination of the three is when all three coefficients are 0.) These three polynomial are a spanning set for P3.| These three polynomials are linearly independent because there are three of them anddim(P3)=3| These three polynomials are linearly dependent because two of them are first orderpolynomials.If we remove the third polynomial from the list, the remaining two polynomialsx – 1x + 2span a 2-dimensional subspace of P3

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Answered: Please go through each option with…

Math

Algebra

Please go through each option with explanation

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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