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brinethery

  • 3 years ago

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).

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  1. satellite73
    • 3 years ago
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    i think this will fail in terms of scaler multiplication

  2. satellite73
    • 3 years ago
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    should have \[a(\overline{v}+\overline{w})=a\overline{v}+a\overline{w}\]

  3. satellite73
    • 3 years ago
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    but \[a(f\oplus g)\neq af\oplus ag\]

  4. satellite73
    • 3 years ago
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    no guarentees, but i think this is right.

  5. brinethery
    • 3 years ago
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    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.

  6. satellite73
    • 3 years ago
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    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.

  7. brinethery
    • 3 years ago
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    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 :-)

  8. satellite73
    • 3 years ago
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    yw

  9. brinethery
    • 3 years ago
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    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

  10. satellite73
    • 3 years ago
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    yes

  11. brinethery
    • 3 years ago
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    I'm looking back at my old questions sighing at how much I do not get this stuff, lol :-)

  12. No-data
    • 3 years ago
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    Yeah it is a pain the fan's testimonial =P

  13. brinethery
    • 3 years ago
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    yup

  14. brinethery
    • 3 years ago
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    How long ago did you take linear algebra?

  15. No-data
    • 3 years ago
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    Mmmm like 3 years.

  16. No-data
    • 3 years ago
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    Did you solve this problem already?

  17. brinethery
    • 3 years ago
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    I think I might have it written down somewhere but can't remember what the answer is right offhand

  18. brinethery
    • 3 years ago
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    besides, it's Friday and I'm fighting off a head cold

  19. brinethery
    • 3 years ago
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    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.

  20. No-data
    • 3 years ago
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    Satellite's answer was right. \[a(f+g)\neq af+ag\]

  21. No-data
    • 3 years ago
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    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.

  22. No-data
    • 3 years ago
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    Sorry, what does it mean "fighting off a head cold"?

  23. brinethery
    • 3 years ago
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    sinus cold. I can barely form a complete thought because of it :-(

  24. brinethery
    • 3 years ago
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    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

  25. No-data
    • 3 years ago
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    Sorry, I hope you'll get better.

  26. brinethery
    • 3 years ago
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    You get a medal for that, lol

  27. No-data
    • 3 years ago
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    haha ty.

  28. No-data
    • 3 years ago
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    I know that one. Its good.

  29. brinethery
    • 3 years ago
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    oh thank god! that give me hope of passing the second time around.

  30. No-data
    • 3 years ago
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    I wish I could recommend a book, but I learned from spanish books =P

  31. brinethery
    • 3 years ago
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    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.

  32. brinethery
    • 3 years ago
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    I just really suck at the notation and proofs.

  33. No-data
    • 3 years ago
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    You can see it like a videogame.

  34. No-data
    • 3 years ago
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    A game has some rules and that is all you need. So read carefully the rules(axioms) and try to understand them.

  35. brinethery
    • 3 years ago
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    will do.

  36. No-data
    • 3 years ago
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    Well see you then, have a nice night.

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

  38. No-data
    • 3 years ago
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    organic chemistry?

  39. No-data
    • 3 years ago
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    You're a genius if you know organic chemistry =P

  40. brinethery
    • 3 years ago
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    Yep. I was pre-pharmacy, but changed my career goals.

  41. brinethery
    • 3 years ago
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    No, it's all memory :-). You just have to do like 200 homework problems a week!

  42. No-data
    • 3 years ago
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    ohh, what are your career goals now?

  43. brinethery
    • 3 years ago
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    civil engineering now. We'll see how that turns out.

  44. No-data
    • 3 years ago
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    Wooow I used to like it haha

  45. brinethery
    • 3 years ago
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    what changed your mind

  46. brinethery
    • 3 years ago
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    why do you not like it now?

  47. No-data
    • 3 years ago
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    I like it now

  48. brinethery
    • 3 years ago
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    oh I see

  49. No-data
    • 3 years ago
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    Well my major is mechatronics, but I used to like solving structures problems.

  50. brinethery
    • 3 years ago
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    Oh wow, pretty advanced

  51. No-data
    • 3 years ago
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    haha thank you, it's just a fancy name.

  52. No-data
    • 3 years ago
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    Some time ago I posted some problems like your, but no one semeed to be willing to help.

  53. brinethery
    • 3 years ago
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    Yep, now I'm in that position. I don't mind helping people with stuff I remember though

  54. brinethery
    • 3 years ago
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    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.

  55. brinethery
    • 3 years ago
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    For instance: 15 grams of fructose in an apple vs. 15 grams fructose in some soda: which fructose is healthier?

  56. No-data
    • 3 years ago
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    Could you help me with chemistry?

  57. brinethery
    • 3 years ago
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    They're the same!!!!

  58. No-data
    • 3 years ago
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    I think the apple's fructose

  59. brinethery
    • 3 years ago
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    But it's the saaaaame molecule lolz

  60. No-data
    • 3 years ago
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    Ohh yeah, I'm so dumb =P

  61. brinethery
    • 3 years ago
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    I didn't mean it that way :-D

  62. brinethery
    • 3 years ago
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    but you get the idea

  63. brinethery
    • 3 years ago
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    you have chemistry you need help with? Well I can't make any promises with helping

  64. No-data
    • 3 years ago
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    Yeah, I can't not even do an equation balance.

  65. No-data
    • 3 years ago
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    I get lost pretty soon.

  66. brinethery
    • 3 years ago
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    I like those problems with finding limiting reactant. yeeeaaah

  67. brinethery
    • 3 years ago
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    But I HATE redox. hate hate hate.

  68. No-data
    • 3 years ago
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    hahha me too.

  69. No-data
    • 3 years ago
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    I need some sleep. Please feel free to post LA, or Statics problems. I love them hehe

  70. brinethery
    • 3 years ago
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    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

  71. brinethery
    • 3 years ago
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    okay well good night

  72. No-data
    • 3 years ago
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    Hahaha thak you for bugging me then =P. Good night!

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