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: Find a basis for the subset

  1. Nov 23, 2013 #1
    1. The problem statement, all variables and given/known data
    Find a basis for the subset S = {(1, 2, 1), (2, 1, 3), (1, -4, 3)}


    2. Relevant equations



    3. The attempt at a solution
    I'm not absolutely sure I'm doing this correctly but here is my attempt:

    First, I put the vectors in S in the rows of a matrix (using multiple square brackets rather than one set of larger ones):
    [1 2 1]
    [2 1 3]
    [1 -4 3]
    Then, I found the row-reduced echelon form:
    [1 0 5/3]
    [0 1 -1/3]
    [0 0 0]
    So, a basis for the subset would be {(1, 0, 5/3), (0, 1, -1/3)}.

    Is this correct?
     
  2. jcsd
  3. Nov 23, 2013 #2

    The Electrician

    User Avatar
    Gold Member

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted