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. =

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Chapter2: Second-order Linear Odes
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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.
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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