Orthogonal Decomposition Theorem Part II

Description: Given a vector and a subspace, we decompose the vector (uniquely!) as a the sum of a vector in the subspace and a vector in the orthogonal compliment to the subspace. We prove this theorem and show the geometric intuition. Learning Objective: 1) Give the orthogonal decomposition of a vector This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati