10. Prove that W₁ {(a₁, a2,..., an) € F": a₁ + a₂ + + an = 0} is a subspace of Fr, but W₂ = {(a1, a2,...,an) € F: a₁ + a₂ ++an = 1} is not. =
10. Prove that W₁ {(a₁, a2,..., an) € F": a₁ + a₂ + + an = 0} is a subspace of Fr, but W₂ = {(a1, a2,...,an) € F: a₁ + a₂ ++an = 1} is not. =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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![10. Prove that W₁ = {(a₁, a2,..., an) € Fr: a₁ + a₂ + + an = 0} is a
subspace of Fn, but W₂ = {(a1, a2,...,an) € Fn: a₁ + a₂ + + an = 1}
is not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3be9fc5-49dc-4987-93dc-30b0d6519ab7%2F4d869846-f0e8-417d-b7d0-ce9d12c428f6%2Fitncms_processed.png&w=3840&q=75)
Transcribed Image Text:10. Prove that W₁ = {(a₁, a2,..., an) € Fr: a₁ + a₂ + + an = 0} is a
subspace of Fn, but W₂ = {(a1, a2,...,an) € Fn: a₁ + a₂ + + an = 1}
is not.
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