- #1
musicgold
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- Homework Statement
- This is not a homework problem. I am studying abstract algebra on my own and have a question.
I know how to verify if a subset is a subspace of a vector space using the three conditions. What I am trying to imagine is a situation when one will need to verify if a subset is a subspace of a vector space.
- Relevant Equations
- Consider a set V consist of vectors representing houses in a town, where every house is represented by a column vector with three elements :
v = ( price in $K, sq. foot, # of bathrooms )
I am assuming the set ##V## will have elements like the ones shown below.
## v_{1} = (200, 700, 2) ##
## v_{2} = (250, 800, 3) ##
...
1. What will be the vector space in this situation?
2. Would a subspace mean a subset of V with three or more bathrooms?
## v_{1} = (200, 700, 2) ##
## v_{2} = (250, 800, 3) ##
...
1. What will be the vector space in this situation?
2. Would a subspace mean a subset of V with three or more bathrooms?