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Posted: **Wed Jul 13, 2022 5:05 am**

: 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 1 (70.13 KiB) Viewed 36 times

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.

Answer Happy

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

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