Let P2 be the vector space of all polynomials of degree < 2. If W is the set of a polynomials of the form a, + a,x + a2x² such that ao – a1 + a2 = 0 . Determine whether W is a subspace of P2. Hint, W = {(ao + a,x + azx²)|ao – a1 + az = 0}.
Let P2 be the vector space of all polynomials of degree < 2. If W is the set of a polynomials of the form a, + a,x + a2x² such that ao – a1 + a2 = 0 . Determine whether W is a subspace of P2. Hint, W = {(ao + a,x + azx²)|ao – a1 + az = 0}.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 40EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V= F, W=finF:f(0)=1
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