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Projecting to the range of a matrix

  1. 1. The problem statement, all variables and given/known data

    Let U = span({(1, 2, 1)t, (1, 0, 0)t}) and V = span({(0, 1, 1)t}) be subspaces of
    R3. Find the matrix B representing the projection onto V parallel to U.

    2. Relevant equations



    3. The attempt at a solution

    If a matrix C with range U and and a matrix D whose nullspace is V then we can find the projection of matrix B

    B = C(DC)−1D

    Is my thought correct?
     
  2. jcsd
  3. can anyone help ?
     
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