1. Not finding help here? Sign up for a free 30min 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!

Vector space

  1. Jan 21, 2009 #1
    given these 3 vectors

    w1=(1 0 1 -1)
    w2=(2 1 2 -3)
    w3=(3 1 1 -2)

    and i am asked to find a basis of W, subspace of R4

    to do this am i supposed to put these vectors into a matrix and try elliminate rows, leaving the basis being the rows i could not get rid of??

    does it matter if i put them in a "standing" matrix "A" or a "lying down" matrix "At "

    i tried this with an At like matrix, but couldnt elliminate any of them,? are they all 3 the basis or have i done something wrong?
     
  2. jcsd
  3. Jan 21, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    If you can't create a row of zeros by elimination, then they are linearly independent and you need them all to form a basis of their span, yes.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Vector space
  1. Vector Space (Replies: 1)

  2. Vector space (Replies: 8)

  3. Vector Space (Replies: 3)

  4. Not a Vector Space (Replies: 3)

  5. Vector Space (Replies: 10)

Loading...