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Projecting to the range of a matrix

by mikael27
Tags: matrix, projecting, range
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Mar7-12, 09:23 PM
P: 59
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?
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Mar8-12, 07:10 AM
P: 59
can anyone help ?

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