3. If {a, ..., a} spans S and {b, ..., b} spans S, prove that {a, ...,...

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3. If {a₁, ..., aₚ} spans S₁ and {b₁, ..., bₛ} spans S₂, prove that {a₁, ..., aₚ, b₁, ..., bₛ} spans S₁ ⊕ S₂.

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