1.Let P2 be the vector space of all polynomials of degree < 2. If W is the set of all polynomials of theform ao + a,x + a2x² such that ao + 2a, + az = 0 . Determine whether W is a subspace of P2.Hint, W = {(ao + a,x + a2x²)|ao + 2a1 + az = 0}.2.Define spanning set. Determine whether the vectors u = (1,2,1), u2 = (-1,1,2) andИз 3D (2,0, —4) span R3.

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1. Let P2 be the vector space of all polynomials of degree < 2. If W is the set of all polynomials of the form ao + a,x + a2x² such that ao + 2a1 + a2 Hint, W 0. Determine whether W is a subspace of P2. {(ao + a1x + a2x²)|ao + 2a1 + az = 0}. 2. Define spanning set. Determine whether the vectors u = (1,2,1), u2 = (-1,1,2) and Uz = (2,0, –4) span R. %3D %3D

1. Let P2 be the vector space of all polynomials of degree < 2. If W is the set of all polynomials of the form ao + a,x + a2x² such that ao + 2a1 + a2 Hint, W 0. Determine whether W is a subspace of P2. {(ao + a1x + a2x²)|ao + 2a1 + az = 0}. 2. Define spanning set. Determine whether the vectors u = (1,2,1), u2 = (-1,1,2) and Uz = (2,0, –4) span R. %3D %3D

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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