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Projection matrix

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Find a matrix of projection pi onto subspace V parallel to subspace W in R3. See attached file for full problem description.

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Solution Summary

This show show to find a matrix of a given projection. The subspaces in project matrixes are determined.

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Please see the attached file.

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Here is the plain TEX source

centerline{bf Projection}

Let us give names to the vectors, and write the vectors vertically for convenience at the last stage:
$$
vec a = l(matrix{0cr 1cr 2}r), ~~~~
vec b = l(matrix{1cr 1cr 0}r), ~~~~
vec c = l(matrix{1cr 1cr 1}r),
eqno(1)
$$
and let us ask temporarily for it more rm than is actually required: decompose an arbitrary ...

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