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: Linear algebra help

  1. Oct 23, 2009 #1
    Is L:R^2 - ->R^2 defined by L(x,y) = (x-1,y-x) a linear transformation? Explain why or why not.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Oct 23, 2009 #2


    User Avatar
    Homework Helper

    esler, I suggest you take this one over to the math section of the forum.
  4. Oct 23, 2009 #3
    Apply the properties of a linear transformation:

    There are two properties to verify, as outlined in the link. For the first one, take two arbitrary elements of R2, you can call them (x1, y1) and (x2, y2), and see if they satisfy the first property. You may use the usual point wise addition for the ordered pairs.
    Then take an arbitrary scalar to see if the second property is satisfied.

    You might also find this page useful:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook