Results 1 to 2 of 2

Math Help - Span of IR4 problem

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    35

    Span of IR4 problem

    Can anyone tell me what the span of this matrix is, cheers
     \left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&  0&1\end{array}\right]
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Gamma's Avatar
    Joined
    Dec 2008
    From
    Iowa City, IA
    Posts
    517
    What happens when you take a real number and multiply it by that matrix? You are just gonna get all scalar matrices \lambda I_4 for \lambda \in \mathbb{F} where  \mathbb{F} is the field over which the matrix is, I assume probably just the real numbers.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove that span{x,y}=span{y,z}
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: September 24th 2010, 05:17 AM
  2. Span help
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: July 20th 2010, 07:43 PM
  3. Proving span{v1,v2,..} = span{w1, w2, ...w3}
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: March 4th 2010, 11:35 AM
  4. Span problem
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 4th 2009, 07:28 PM
  5. Span of a Set
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: September 29th 2006, 12:51 PM

Search Tags


/mathhelpforum @mathhelpforum