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Basis problem

  1. Mar 8, 2008 #1
    Let B be the basis of R^2 consisting of the vectors :

    (4,1) and (1,3)

    and let R be the basis consisting of

    (-2,-3) and (-1,-2)

    Find a matrix P such that [x]_R = P [x]_B for all x in R^2

    *note: the vectors are columns, so in (4,1) the 4 is the top row and 1 is the bottom row.

    Really not sure how to start this problem. Please help.
  2. jcsd
  3. Mar 9, 2008 #2
    still looking for help on this problem.
  4. Mar 10, 2008 #3


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    Science Advisor

    How would (4, 1) and (1, 3), the B basis vectors, be written in the R basis?

    The columns of matrix P will be those vectors.
  5. Mar 10, 2008 #4
    Alright, got it. I feel stupid now though.
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