A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Determine if V is a vector space when: x+y=xy cx=x^c If not state all the vector axioms it fails

  • This Question is Closed
  1. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If yes verify each vector space axiom

  2. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    here's at least one that fails\[c(\vec u+\vec v)\neq c\vec u+c\vec v\]

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok what abt tat scaler multiplication?

  4. phi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^c is not a linear operation

  5. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okkkkk

  6. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    actually it's consistent though... \[c(\vec u+\vec v)= c\vec u+c\vec v\]because we have\[c(\vec u+\vec v)=(uv)^c=u^cv^c= c\vec u+c\vec v\]so I don't see what's wrong with it

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well it is definitely not closed under scaler multilication though

  8. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    how so?

  9. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because x^c is exponential

  10. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    but that doesn't necessarily take it out of V

  11. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    *the vector space I mean

  12. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh ya? ok I dont get a thing, I feel so stupid

  13. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    aha! it is a vector space I thought I'd seen it befor check it out, the zero vector turns out to be 1 I think http://tutorial.math.lamar.edu/Classes/LinAlg/VectorSpaces.aspx

  14. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yay lol :D

  15. phi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Tur how do you get from (uv)^c to cu + cv?

  16. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    check out example 5

  17. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup i see it. Thanks :D

  18. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    @ phi that is what you get when you put the two rules together the exponent is distributed because vector addition is defined as multiplication

  19. phi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nvm, i'll look at your link...

  20. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    LOL i htink i am fundamentally lacking basic knowledge

  21. TuringTest
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I'm not so good at this stuff, I had it wrong at first as well

  22. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.