How to Find Projection of U Onto V

It is used for states with relatively long northsouth dimensions eg Illinois and Mississippi. By the theorem to find x L we must solve the matrix equation u T uc u T x where we regard u as an n 1 matrix the column space of this matrix is exactly L.

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Example Orthogonal projection onto a line Let L Span u be a line in R n and let x be a vector in R n.

. The projection onto a cylinder is known as the transverse Mercator projection. But u T u u u and u T x u x so c u x u u is a. For example New York uses a Lambert projection for Long Island and three Mercator projections for the rest of.

Some states utilize more than one projection of either kind and some use both kinds of projection.

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