anonymous
  • anonymous
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).
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
i think this will fail in terms of scaler multiplication
anonymous
  • anonymous
should have \[a(\overline{v}+\overline{w})=a\overline{v}+a\overline{w}\]
anonymous
  • anonymous
but \[a(f\oplus g)\neq af\oplus ag\]

Looking for something else?

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

More answers

anonymous
  • anonymous
no guarentees, but i think this is right.
anonymous
  • anonymous
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.
anonymous
  • anonymous
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.
anonymous
  • anonymous
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 :-)
anonymous
  • anonymous
yw
anonymous
  • anonymous
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
anonymous
  • anonymous
yes
anonymous
  • anonymous
I'm looking back at my old questions sighing at how much I do not get this stuff, lol :-)
anonymous
  • anonymous
Yeah it is a pain the fan's testimonial =P
anonymous
  • anonymous
yup
anonymous
  • anonymous
How long ago did you take linear algebra?
anonymous
  • anonymous
Mmmm like 3 years.
anonymous
  • anonymous
Did you solve this problem already?
anonymous
  • anonymous
I think I might have it written down somewhere but can't remember what the answer is right offhand
anonymous
  • anonymous
besides, it's Friday and I'm fighting off a head cold
anonymous
  • anonymous
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.
anonymous
  • anonymous
Satellite's answer was right. \[a(f+g)\neq af+ag\]
anonymous
  • anonymous
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.
anonymous
  • anonymous
Sorry, what does it mean "fighting off a head cold"?
anonymous
  • anonymous
sinus cold. I can barely form a complete thought because of it :-(
anonymous
  • anonymous
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
anonymous
  • anonymous
Sorry, I hope you'll get better.
anonymous
  • anonymous
You get a medal for that, lol
anonymous
  • anonymous
haha ty.
anonymous
  • anonymous
I know that one. Its good.
anonymous
  • anonymous
oh thank god! that give me hope of passing the second time around.
anonymous
  • anonymous
I wish I could recommend a book, but I learned from spanish books =P
anonymous
  • anonymous
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.
anonymous
  • anonymous
I just really suck at the notation and proofs.
anonymous
  • anonymous
You can see it like a videogame.
anonymous
  • anonymous
A game has some rules and that is all you need. So read carefully the rules(axioms) and try to understand them.
anonymous
  • anonymous
will do.
anonymous
  • anonymous
Well see you then, have a nice night.
anonymous
  • anonymous
I took organic chemistry a while back and we had the full solutions manual for doing our homework. I learned really well that way.
anonymous
  • anonymous
organic chemistry?
anonymous
  • anonymous
You're a genius if you know organic chemistry =P
anonymous
  • anonymous
Yep. I was pre-pharmacy, but changed my career goals.
anonymous
  • anonymous
No, it's all memory :-). You just have to do like 200 homework problems a week!
anonymous
  • anonymous
ohh, what are your career goals now?
anonymous
  • anonymous
civil engineering now. We'll see how that turns out.
anonymous
  • anonymous
Wooow I used to like it haha
anonymous
  • anonymous
what changed your mind
anonymous
  • anonymous
why do you not like it now?
anonymous
  • anonymous
I like it now
anonymous
  • anonymous
oh I see
anonymous
  • anonymous
Well my major is mechatronics, but I used to like solving structures problems.
anonymous
  • anonymous
Oh wow, pretty advanced
anonymous
  • anonymous
haha thank you, it's just a fancy name.
anonymous
  • anonymous
Some time ago I posted some problems like your, but no one semeed to be willing to help.
anonymous
  • anonymous
Yep, now I'm in that position. I don't mind helping people with stuff I remember though
anonymous
  • anonymous
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.
anonymous
  • anonymous
For instance: 15 grams of fructose in an apple vs. 15 grams fructose in some soda: which fructose is healthier?
anonymous
  • anonymous
Could you help me with chemistry?
anonymous
  • anonymous
They're the same!!!!
anonymous
  • anonymous
I think the apple's fructose
anonymous
  • anonymous
But it's the saaaaame molecule lolz
anonymous
  • anonymous
Ohh yeah, I'm so dumb =P
anonymous
  • anonymous
I didn't mean it that way :-D
anonymous
  • anonymous
but you get the idea
anonymous
  • anonymous
you have chemistry you need help with? Well I can't make any promises with helping
anonymous
  • anonymous
Yeah, I can't not even do an equation balance.
anonymous
  • anonymous
I get lost pretty soon.
anonymous
  • anonymous
I like those problems with finding limiting reactant. yeeeaaah
anonymous
  • anonymous
But I HATE redox. hate hate hate.
anonymous
  • anonymous
hahha me too.
anonymous
  • anonymous
I need some sleep. Please feel free to post LA, or Statics problems. I love them hehe
anonymous
  • anonymous
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
anonymous
  • anonymous
okay well good night
anonymous
  • anonymous
Hahaha thak you for bugging me then =P. Good night!

Looking for something else?

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