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: Give an example of a linear transformation

  1. Feb 22, 2007 #1
    1. The problem statement, all variables and given/known data
    Give an example of a linear transformation whose kernel is the line spanned by:


    in lR³

    2. Relevant equations

    3. The attempt at a solution



    be a solution?
  2. jcsd
  3. Feb 23, 2007 #2
    To prove it, prove your vector is in the kernel and that the dimension of the col. space is 3 - nullity = 2.
  4. Feb 23, 2007 #3


    User Avatar
    Science Advisor

    It quite obviously isn't since Av is not 0. Are you clear on the definition of "kernel"?

    Actually your matrix has only a single entry wrong so it may be just a typo.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook