Projecting to the range of a matrix

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Homework Statement



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.

Homework Equations





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?
 
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can anyone help ?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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