A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
I have a stupid question regarding vectors spaces
anonymous
 4 years ago
I have a stupid question regarding vectors spaces

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now that you are familiar with vector spaces, try determining if other sets of objects meet the requirements (or not). For example, the set of integers, the set of rationals, the set of positive continuous functions on a closed interval. Do these meet the definition of a vector space? If not, why? Can you think of other examples from your past?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2Not a stupid question. Are the integers over the integers a vector space?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2on this one, note that you must have a field as the basic algebraic structure. The integers are not a field. Hence the integers over the integers are not a vector space. What about the rational numbers over the rationals?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that was a wild guess

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2yes, the rationals are a field.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2Fields is a set together with two operations: addition + and multiplication x, which satisfies just about every axiom of the real numbers. Such as there exists a number 0 such that 0 + x = x for all x. The rationals behave in the right way. Anyway, let's stick with the real numbers. The finite polynomials are a vector space over the reals also.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2If you go hunting on the internet, you'll find lots and lots of examples.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes oook i get it now :D

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Just needed a lil bit of coaching Thanks :D

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Great work both of you!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Os is a savior I really like it =)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.