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math.la.t.vec.projection…
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The (orthogonal) projection of a vector onto a subspace is the point in the subspace closest to the vector.
math.la.t.vec.projection.closest
The projection of a vector which is in a subspace is the vector itself.
math.la.t.vec.projection.element
A vector can be written uniquely as a sum of a vector in a subspace and a vector orthogonal to the subspace.
math.la.t.vec.projection.subspace