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: Failing at projection question

  1. Nov 21, 2008 #1
    let pf(x)= sum( from i=1 to k) <x, ui>ui, show pf is a projection.

    Ive tried to show this fact myself but i failed. Please some one help me out. thanks

    Note ui = u1...un an orthogonal basis of V where V is a vector space.
  2. jcsd
  3. Nov 22, 2008 #2
    Re: projection

    Welcome to PF, reha.

    The usual procedure in showing that a given function is a projection, is to verify that is satisfies the definition of a projection. (By the way, that's true for many other things as well.)

    So, what's the definition of a projection in a vector space?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook