11. Fix some positive integer n, and some a € R. The setW = {ƒ € P₂(R) | ƒ(a) = 0}is a subspace of P₁ (R), the space of polynomials with real coefficients ofdegree ≤n. (You do not need to prove this.) Determine the dimension of W.

The given subspace .The objective is to find the dimension of the subspace .

11. Fix some positive integer n, and some a E R. The set {ƒ ≤ P„(R) | ƒ(a) = 0} W = is a subspace of Pn (R), the space of polynomials with real coefficients of degree ≤n. (You do not need to prove this.) Determine the dimension of W.

11. Fix some positive integer n, and some a E R. The set {ƒ ≤ P„(R) | ƒ(a) = 0} W = is a subspace of Pn (R), the space of polynomials with real coefficients of degree ≤n. (You do not need to prove this.) Determine the dimension of W.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 30E

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Question

11. Fix some positive integer n, and some a € R. The set
W = {ƒ € P₂(R) | ƒ(a) = 0}
is a subspace of P₁ (R), the space of polynomials with real coefficients of
degree ≤n. (You do not need to prove this.) Determine the dimension of W.

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