Consider the set Sa={(x,y)∈R2∣x+2y=a} with a∈R. a) Show that Sa is not a subspace of R2 whenever a=0. b) Show that S0
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Consider the set Sa={(x,y)∈R2∣x+2y=a} with a∈R. a) Show that Sa is not a subspace of R2 whenever a=0. b) Show that S0
Consider the set Sa={(x,y)∈R2∣x+2y=a} with a∈R. a) Show that Sa is not a subspace of R2 whenever a=0. b) Show that S0={(x,y)∈R2∣x+2y=0} is a subspace of R2 by demonstrating closure under vector addition and scalar multiplication.
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