Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Prove that set of all fourth degree polynomials is not a vector space
 one year ago
 one year ago
Prove that set of all fourth degree polynomials is not a vector space
 one year ago
 one year ago

This Question is Closed

MikaelBest ResponseYou've already chosen the best response.3
Weelll, it is not so simple to prove a false assertion....
 one year ago

MikaelBest ResponseYou've already chosen the best response.3
Since it is closed to linear combinations and closed to multiplication by a scalar  it IS a vector space. 4Dimensional by the way.
 one year ago

Priyanka12081Best ResponseYou've already chosen the best response.0
cud u plz tell me the exact steps to write :) :)
 one year ago

MikaelBest ResponseYou've already chosen the best response.3
I know what your Lecturer/book THINKS ( and he/she is wrong !)  it thinks that P(x) = 7x +3 is not 4th degree. But unfortunately for him/her it formally IS
 one year ago

MikaelBest ResponseYou've already chosen the best response.3
Consider the set of all expressions of the form\[\sum_{i=0}^{4} a_i * x^i\] where a_i are real/complex and x is a formal letter.
 one year ago

MikaelBest ResponseYou've already chosen the best response.3
Adding the Linear combination of two objects like that will always result in the same FORM\[\sum_{i=1}^{4} a_i x^i + \sum_{i=1}^{4} b_i x^i = \sum_{i=1}^{4} (a_i + b_i) x^i\]
 one year ago

MikaelBest ResponseYou've already chosen the best response.3
The fact that sometimes a_4 + b_4 = 0 shall not be of any problem
 one year ago
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
 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.