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Homework Help: Linear transformation

  1. Apr 19, 2006 #1
    how would one find the inverse of the linear transformation:


    this was never taught in class, could someone give a little advice as how I would do this?

    I know the answer has to be in the form of


    could someone explain this process?
  2. jcsd
  3. Apr 19, 2006 #2


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    You're solving the system of equations for [itex]x_1[/itex] and [itex]x_2[/itex].

    One way to do it would be to solve the first equation for [itex]x_1[/itex] and then substitute into the second equation.

    Another method would be to add the equations together using suitable coefficitents so that one of the [itex]x[/itex]'s is eliminated, and then solve for the other.

    In principle, this should be no different than dealing with, for example:
  4. Apr 19, 2006 #3
    Yet another way is to write the equations in matrix form. (Left) Multiply both sides by the inverse of the coefficient matrix.
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