1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Finding the basis for a set of polynomials (linear algebra)

  1. Mar 28, 2010 #1
    Hi. Thanks for the help.
    1. The problem statement, all variables and given/known data
    Find a basis for the set of polynomials in P3 with P'(1)=0 and P''(2)=0.

    2. Relevant equations
    P' is the first derivative, P'' is the second derivative.

    3. The attempt at a solution
    The general form of a polynomial in P3 is ax^3+bx^2+cx+d
    Therefore, P' will have the form 3ax^2+2bx+c
    and P'' will have the form 6ax + 2b
    Plugging in the known values, the two equations will be:

    I just don't know where to go from there, how to find the basis. I understand the concept of a basis and how to find one for a set of matrices or vectors, but not with this. Any help would be greatly appreciated. Thank you.
  2. jcsd
  3. Mar 28, 2010 #2
    Never mind. solved.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook