Results 1 to 2 of 2

Thread: Product Spaces!

  1. #1

    Product Spaces!


    P5 is an innerproduct space with an inner product. We applied the Gram Schmidt process tot he basis {1,x,x^2,x^3,x^4} and obtained the following as the result {f1,f2,f3,f4,x^4+2}.
    a. What is the orthogonal complement of P3 in P5 with erspect to this inner product?
    b. What is the length of 2f1 + f3 -f4?


    Do we reverse the Gram Schmidt process somehow? I'm not even sure that its possible

  2. #2
    Elite Member
    Join Date
    Jan 2012
    Posts
    3,336
    Quote Originally Posted by h2oskidude View Post

    P5 is an innerproduct space with an inner product. We applied the Gram Schmidt process tot he basis {1,x,x^2,x^3,x^4} and obtained the following as the result {f1,f2,f3,f4,x^4+2}.
    a. What is the orthogonal complement of P3 in P5 with erspect to this inner product?
    b. What is the length of 2f1 + f3 -f4?


    Do we reverse the Gram Schmidt process somehow? I'm not even sure that its possible
    There is no way to do this problem without knowing what the inner product is.

    By the way, the term "product space" usually applies to the Cartesian product of two "spaces". It does not usually mean "inner product spaces".
    Last edited by HallsofIvy; 04-23-2012 at 11:31 AM.

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •