Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

brinethery

Linear Algebra: Determine if this set is a vector space. Either show that the necessary properties are satisfied, or give an example showing that at least one of them is not. -The set P of all polynomials, with the usual definition of scalar multiplication, but with addition defined as polynomial multiplication (so f + g (morphed addition) is equal to the product of f and g).

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    i think this will fail in terms of scaler multiplication

    • 2 years ago
  2. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    should have \[a(\overline{v}+\overline{w})=a\overline{v}+a\overline{w}\]

    • 2 years ago
  3. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    but \[a(f\oplus g)\neq af\oplus ag\]

    • 2 years ago
  4. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    no guarentees, but i think this is right.

    • 2 years ago
  5. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Hey thank you very much :-). I just don't get this vector space stuff at all. It's okay if it's not totally correct, I'll look for some similar examples.

    • 2 years ago
  6. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    actaully i am sure it is right. need to check against vector space axioms. the point of this exercise is to get you to learn them.

    • 2 years ago
  7. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Yeah I understand. It's hard just trying to get a grasp on vector spaces at this point. I don't get the concept of "redefining" the axioms. It's all very strange to me. Anyway, thank you again. I will try my hardest to learn the material :-)

    • 2 years ago
  8. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    yw

    • 2 years ago
  9. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Sorry to bug you again, but I have another question... So addition is defined as polynomial multiplication, f(+)g = f*g. Are you using (g) to show that this is not a vector space? http://tutorial.math.lamar.edu/Classes/LinAlg/VectorSpaces.aspx

    • 2 years ago
  10. satellite73
    Best Response
    You've already chosen the best response.
    Medals 3

    yes

    • 2 years ago
  11. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I'm looking back at my old questions sighing at how much I do not get this stuff, lol :-)

    • 2 years ago
  12. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah it is a pain the fan's testimonial =P

    • 2 years ago
  13. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    yup

    • 2 years ago
  14. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    How long ago did you take linear algebra?

    • 2 years ago
  15. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Mmmm like 3 years.

    • 2 years ago
  16. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Did you solve this problem already?

    • 2 years ago
  17. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I think I might have it written down somewhere but can't remember what the answer is right offhand

    • 2 years ago
  18. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    besides, it's Friday and I'm fighting off a head cold

    • 2 years ago
  19. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I think my main problem was this book we had to use. I hated it. http://www.amazon.com/Linear-Algebra-Third-John-Fraleigh/dp/0201526751 Maybe the instructors like it, but it's not student friendly.

    • 2 years ago
  20. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Satellite's answer was right. \[a(f+g)\neq af+ag\]

    • 2 years ago
  21. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohh I don't know the book. But believe me the good linear algebra books, are not friendly at all. But once you grasp the ideas you'll love the subject.

    • 2 years ago
  22. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, what does it mean "fighting off a head cold"?

    • 2 years ago
  23. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    sinus cold. I can barely form a complete thought because of it :-(

    • 2 years ago
  24. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Here's a book that I've been going through. It seems to do a better job at explaining the fundamental concepts. http://www.amazon.com/Elementary-Enhanced-WebAssign-1-Semester-Available/dp/1439044007/ref=sr_1_1?s=books&ie=UTF8&qid=1331361710&sr=1-1

    • 2 years ago
  25. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry, I hope you'll get better.

    • 2 years ago
  26. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    You get a medal for that, lol

    • 2 years ago
  27. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    haha ty.

    • 2 years ago
  28. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I know that one. Its good.

    • 2 years ago
  29. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    oh thank god! that give me hope of passing the second time around.

    • 2 years ago
  30. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I wish I could recommend a book, but I learned from spanish books =P

    • 2 years ago
  31. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    That's alright. And the other thing is, I learn through looking at tons of examples. So I'll try to get my hands on an instructors solutions manual. I don't really think it's cheating because we won't even be using that book for the class anyway.

    • 2 years ago
  32. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I just really suck at the notation and proofs.

    • 2 years ago
  33. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    You can see it like a videogame.

    • 2 years ago
  34. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    A game has some rules and that is all you need. So read carefully the rules(axioms) and try to understand them.

    • 2 years ago
  35. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    will do.

    • 2 years ago
  36. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Well see you then, have a nice night.

    • 2 years ago
  37. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I took organic chemistry a while back and we had the full solutions manual for doing our homework. I learned really well that way.

    • 2 years ago
  38. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    organic chemistry?

    • 2 years ago
  39. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    You're a genius if you know organic chemistry =P

    • 2 years ago
  40. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Yep. I was pre-pharmacy, but changed my career goals.

    • 2 years ago
  41. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    No, it's all memory :-). You just have to do like 200 homework problems a week!

    • 2 years ago
  42. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh, what are your career goals now?

    • 2 years ago
  43. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    civil engineering now. We'll see how that turns out.

    • 2 years ago
  44. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Wooow I used to like it haha

    • 2 years ago
  45. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    what changed your mind

    • 2 years ago
  46. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    why do you not like it now?

    • 2 years ago
  47. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I like it now

    • 2 years ago
  48. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    oh I see

    • 2 years ago
  49. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Well my major is mechatronics, but I used to like solving structures problems.

    • 2 years ago
  50. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Oh wow, pretty advanced

    • 2 years ago
  51. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    haha thank you, it's just a fancy name.

    • 2 years ago
  52. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Some time ago I posted some problems like your, but no one semeed to be willing to help.

    • 2 years ago
  53. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Yep, now I'm in that position. I don't mind helping people with stuff I remember though

    • 2 years ago
  54. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    Even though I changed the field I'm going for, I still like ochem. After taking that class, I realized that some people can say the dumbest things.

    • 2 years ago
  55. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    For instance: 15 grams of fructose in an apple vs. 15 grams fructose in some soda: which fructose is healthier?

    • 2 years ago
  56. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you help me with chemistry?

    • 2 years ago
  57. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    They're the same!!!!

    • 2 years ago
  58. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I think the apple's fructose

    • 2 years ago
  59. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    But it's the saaaaame molecule lolz

    • 2 years ago
  60. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Ohh yeah, I'm so dumb =P

    • 2 years ago
  61. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I didn't mean it that way :-D

    • 2 years ago
  62. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    but you get the idea

    • 2 years ago
  63. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    you have chemistry you need help with? Well I can't make any promises with helping

    • 2 years ago
  64. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah, I can't not even do an equation balance.

    • 2 years ago
  65. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I get lost pretty soon.

    • 2 years ago
  66. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I like those problems with finding limiting reactant. yeeeaaah

    • 2 years ago
  67. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    But I HATE redox. hate hate hate.

    • 2 years ago
  68. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    hahha me too.

    • 2 years ago
  69. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    I need some sleep. Please feel free to post LA, or Statics problems. I love them hehe

    • 2 years ago
  70. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    I will, I'm taking statics next quarter. And yes, I will try to bug you with the hardest linalg problems I can find :-D

    • 2 years ago
  71. brinethery
    Best Response
    You've already chosen the best response.
    Medals 2

    okay well good night

    • 2 years ago
  72. No-data
    Best Response
    You've already chosen the best response.
    Medals 0

    Hahaha thak you for bugging me then =P. Good night!

    • 2 years ago
    • Attachments:

See more questions >>>

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.