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Homework Help: Finding a transition matrix

  1. Mar 4, 2013 #1
    1. The problem statement, all variables and given/known data
    Let B = {(1,1,1),(1,2,2),(2,3,4)} be an ordered basis of R3, and let B` be the standard basis of R3.

    Find the transition matrix from B to B` and use it to find the coordinates of (1,2,3)T with respect to B.

    2. Relevant equations

    3. The attempt at a solution
    Is it correct to apply the following?
    u1 = 1(u`1) + 1(u`2) + 1(u`3)
    u2 = 1(u`1) + 2(u`2) + 2(u`3)
    u3 = 2(u`1) + 3(u`2) + 4(u`3)
  2. jcsd
  3. Mar 5, 2013 #2


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    Staff Emeritus
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    Gold Member

    How is the transition matrix from B to B' defined? If it's defined the way I think, you should express the primed basis vectors in terms of the unprimed, not the other way round.
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