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Projection matrix

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


Solution Preview

Please see the attached file.

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),
and let us ask temporarily for it more rm than is actually required: decompose an arbitrary ...

Solution Summary

This show show to find a matrix of a given projection.