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owlet
 one year ago
How to determine whether a set of vectors is subspace of R^n or not? I'm confused about this topic.
owlet
 one year ago
How to determine whether a set of vectors is subspace of R^n or not? I'm confused about this topic.

This Question is Closed

owlet
 one year ago
Best ResponseYou've already chosen the best response.0they said I have to satisfy two conditions but Idk how to apply it

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4how do you define 'subspace'. what properties do we look for?

owlet
 one year ago
Best ResponseYou've already chosen the best response.0like for example I have this question in a book that says it is not a subspace. dw:1443912367126:dw

owlet
 one year ago
Best ResponseYou've already chosen the best response.0subspace of R^2 for that problem^

owlet
 one year ago
Best ResponseYou've already chosen the best response.0It says here... there are rules that must be satisfied to know if something is a subspace of R^2: \[x + y \in S\\ tx \in S\] x and y are vectors

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0So basically what factors define an area of R\(^2\) ?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4so closed under addition and scalar multiplication

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4is (x1,x2) in the vector space?

owlet
 one year ago
Best ResponseYou've already chosen the best response.0I'm guessing no? because x1 and x2 should be greater than 0?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4thats what im thinking to and there is no restriction in the value of our scalar is there?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4(x1, x2) is not in the defined set

owlet
 one year ago
Best ResponseYou've already chosen the best response.0So it means, I just have to check the conditions in the given set if they follow those two rules? If they don't follow it, then it is not a subspace? am i understanding it right?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4correct, if the properties are not satisfied in order to be defined as something, then we cannot claim that it exists as that thing.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4calling a cat a tree, is not valid logic is it :)

owlet
 one year ago
Best ResponseYou've already chosen the best response.0lol okay, I think I get it now, thank you! :D
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