Topic: Orthogonal Complements and Projections

Unique Orthogonal Decomposition

The Four Fundamental Subspaces As Orthogonal Complements

The Double Orthogonal Complement Theorem

The Best Approximation Theorem

Subspace Properties of Orthogonal Complements

Row Space And Null Space Orthogonality

Residual Orthogonality In Projection

Proving the Orthogonal Decomposition Theorem

Projections Onto Orthogonal Complementary Subspaces

Projections From Rank-Deficient Generators