Math 060 Fall 2017 103017 Orthogonal Complements

Orthogonal subspaces; examples; nonexample. Orthogonal complements. Trivial observations about orthogonal subspaces and orthogonal complements. Fundamental Subspaces Theorem. More facts about orthogonal complements: the dimension of an orthogonal complement is complementary to the dimension of the subspace; the union of the bases of a subspace and and orthogonal complement is a basis of the ambient vector space.