Select the correct statements for W = {p(x) = ao + a₁x € P₁|ao + a₁ = 0}. Wis nonempty cp(x) + dq(x) = W for all p(x), g(x) E W and c, d E R Wis a subspace of P₁

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 10EQ
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Select the correct statements for W = {p(x) = ao + ₁² € P₁|ao + a₁ = 0}.
Wis nonempty
cp(x) + dq(x) = W for all p(x), g(x) = W and c, d E R
Wis a subspace of P₁
Transcribed Image Text:Select the correct statements for W = {p(x) = ao + ₁² € P₁|ao + a₁ = 0}. Wis nonempty cp(x) + dq(x) = W for all p(x), g(x) = W and c, d E R Wis a subspace of P₁
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