Mathematics, 15.07.2019 20:40 eburnhisel2023
Let hh be the set of all points in the second quadrant in the plane v=ℝ2v=r2. that is, h={(x, y)∣x≤0,y≥0}h={(x, y)∣x≤0,y≥0}. is hh a subspace of the vector space vv?
Answers: 1
is not a subspace of 
. A simple counter-example to the contrary: let 
with 
. However, scaling by -1 gives the vector 
and 
.
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Let hh be the set of all points in the second quadrant in the plane v=ℝ2v=r2. that is, h={(x, y)∣x≤0...
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