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Given a linear transformation, determine matrix A

  1. Mar 1, 2014 #1
    1. The problem statement, all variables and given/known data
    LPE6kM6.png


    2. Relevant equations

    3. The attempt at a solution
    What is M_2 supposed to be? Is A supposed to be the matrix that produces those above linear transformations?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 1, 2014 #2
    pretty much, yes. can you determine what the matrix is?
     
  4. Mar 1, 2014 #3

    Mark44

    Staff: Mentor

    M2(R) is the set of 2 X 2 matrices with elements from the field of real numbers. Other notation I've seen is M2x2.
     
  5. Mar 1, 2014 #4
    Once a basis has been specified, each linear transformation has a unique matrix representation. Think about the vectors that they gave you ##L## acting on. Do they form a basis? If so, how would they be linked to the form of the matrix?
     
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