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: Matrix Algebra Transformation

  1. May 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Let T: R3 → R3 be a linear transformation such that T(1, 1, 1) = (1, 0, –1), T(0, – 1, 2) = (–3, 3, –1), and T(1, 0, 1) = (1, 1, 0). Find the following expression. (Enter each vector as a comma-separated list of its components.)

    what is T(2, –1, 1)?


    3. The attempt at a solution
    So what i did was 2T(1, 1, 1)-T(0, – 1, 2)+T(1, 0, 1)
    then this can be rewritten as 2(1, 0, –1)-(–3, 3, –1)+(1, 1, 0) so once I did that I got (6,-2,-1), but that is obviously the wrong answer and I don't know why.
     
  2. jcsd
  3. May 6, 2012 #2
    Well, your linear combination to obtain T(2,-1,1) doesn't work out, because the middle component ends up being 3, not -1.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook