Representing Vectors in RN Using Subspace Members - Linear Algebra - Khan Academy

Explore a 27-minute video lecture on representing vectors in Rn using subspace members, part of Khan Academy's Linear Algebra series. Learn how any member of Rn can be uniquely represented as the sum of a vector in subspace V and a vector in V's orthogonal complement. Delve into advanced mathematical concepts typically covered in science and engineering majors, building upon foundational calculus knowledge. Access this free educational content to enhance understanding of multi-dimensional mathematical reasoning, including matrices, vectors, vector spaces, transformations, and eigenvectors/values. Utilize Khan Academy's adaptive learning platform to study at your own pace, with access to practice exercises, instructional videos, and a personalized learning dashboard.