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Homework Help: Finding transition matrix

  1. Nov 9, 2008 #1
    1. The problem statement, all variables and given/known data

    Find the transition matrix from B to C and find [x]C

    B = {(3,1), (-1,-2)}
    C = {(1,-3),(5,0)}

    [x]B = [-1 -2]T

    2. Relevant equations



    3. The attempt at a solution
    No clue :(
     
  2. jcsd
  3. Nov 9, 2008 #2

    gabbagabbahey

    User Avatar
    Homework Helper
    Gold Member

    Well, if you call your transition matrix [itex]T[/itex], then

    [tex]\begin{pmatrix} 1 \\ -3 \end{pmatrix}= T \begin{pmatrix} 3 \\ 1 \end{pmatrix}[/tex]

    and

    [tex]\begin{pmatrix} 5 \\ 0 \end{pmatrix}=T \begin{pmatrix} -1 \\ -2 \end{pmatrix}[/tex]

    [tex]\Rightarrow \begin{pmatrix} 1 & 5 \\ -3 & 0 \end{pmatrix}= T \begin{pmatrix} 3 & -1 \\ 1 & -2 \end{pmatrix}[/tex]

    ...is that enough to get you started?
     
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