Results 1 to 2 of 2

Math Help - Finding basis test within a couple of hours!

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    61

    Finding basis test within a couple of hours!

    Hey guys, from what I know there are four different bases. Left Nullspace, nullspace, row space, and column space which each has their own basis. The question asks, for the following system R5, Find a basis of this subset, what is its dimensions.

    [ 1 2 1 2 1 ]
    [-1 -2 0 0 1]
    [-2 -4 0 1 3]
    [ 0 0 1 3 3 ]
    [ 1 2 2 5 4 ]

    Can someone explain what basis they are looking for and how to answer this question? My friend told me its just asking for the row space basis. I dont have much time!

    TIA
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,598
    Thanks
    1421
    Quote Originally Posted by aeubz View Post
    Hey guys, from what I know there are four different bases. Left Nullspace, nullspace, row space, and column space which each has their own basis. The question asks, for the following system R5, Find a basis of this subset, what is its dimensions.

    [ 1 2 1 2 1 ]
    [-1 -2 0 0 1]
    [-2 -4 0 1 3]
    [ 0 0 1 3 3 ]
    [ 1 2 2 5 4 ]

    Can someone explain what basis they are looking for and how to answer this question? My friend told me its just asking for the row space basis. I dont have much time!

    TIA
    Perhaps the problem is that you have the question wrong. What you give is NOT a subspace so it makes no sense to ask for a "basis for this subset". I would interpret that as "find a basis of the subspace spanned by this subset" which would be the same as "find a basis for the row space of this matrix", interpreting each "vector" above as a row of a matrix.

    In any case, since that set of vectors already spans the subspace, you just need to find an equivalent independent set of vectors. And you can do that by "row reduction" as if this were a matrix. The dimension will be the number of non-zero rows after you row reduction.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. exam in a couple hours... vector field question
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 11th 2010, 07:11 AM
  2. Replies: 0
    Last Post: May 5th 2010, 01:51 PM
  3. Need help!! test in 7 hours!!!
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 17th 2008, 10:03 PM
  4. Please Help ASAP for Test in 2 hours!!
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 26th 2008, 09:27 AM
  5. Linear Algebra please help.Exam in a couple of hours.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: June 20th 2008, 03:35 AM

Search Tags


/mathhelpforum @mathhelpforum