This is one of those tutorials that bring many ideas we've been building together into something applicable. Orthogonal projections (which can sometimes be conceptualized as a "vector's shadow" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics! If you're familiar with orthogonal complements, then you're ready for this tutorial!
6979_Projections_onto_subspaces.html
6982_Subspace_projection_matrix_example.html
6981_A_projection_onto_a_subspace_is_a_linear_transformation.html
6984_Projection_is_closest_vector_in_subspace.html
6985_Least_squares_approximation.html
6987_Another_least_squares_example.html
6983_Another_example_of_a_projection_matrix.html
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