(adsbygoogle = window.adsbygoogle || []).push({}); 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

R^{3}. 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)^{−1}D

Is my thought correct?

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# Projecting to the range of a matrix

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