A community for students.
Here's the question you clicked on:
 0 viewing
Priyanka12081
 2 years ago
Prove that set of all fourth degree polynomials is not a vector space
Priyanka12081
 2 years ago
Prove that set of all fourth degree polynomials is not a vector space

This Question is Closed

Mikael
 2 years ago
Best ResponseYou've already chosen the best response.3Weelll, it is not so simple to prove a false assertion....

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

Priyanka12081
 2 years ago
Best ResponseYou've already chosen the best response.0cud u plz tell me the exact steps to write :) :)

Mikael
 2 years ago
Best ResponseYou've already chosen the best response.3I 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

Mikael
 2 years ago
Best ResponseYou've already chosen the best response.3Consider 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.

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

Mikael
 2 years ago
Best ResponseYou've already chosen the best response.3The fact that sometimes a_4 + b_4 = 0 shall not be of any problem
Ask your own question
Sign UpFind more explanations on OpenStudy
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.