Results 1 to 2 of 2

Math Help - The orthogonal complement of the intersection

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    162

    The orthogonal complement of the intersection

    Dears
    could you help for solving the following question:
    Let V be a finite-dimensional inner product space. If A and B are subspace of V, prove that
    (A ⋂ B) = A+ B

    where ┴ denotes to the orthogonal complement

    Best regards
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Sep 2009
    Posts
    162

    Re: The orthogonal complement of the intersection

    note that E={ y in V : <x,y>=0 , for all x in E}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Orthogonal complement
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: December 26th 2011, 01:28 AM
  2. Orthogonal complement
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: May 12th 2011, 05:34 AM
  3. Orthogonal Complement 2
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: April 7th 2011, 07:15 PM
  4. Orthogonal Complement 1
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: April 1st 2011, 02:06 PM
  5. Orthogonal Complement
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: May 31st 2009, 02:12 PM

Search Tags


/mathhelpforum @mathhelpforum