Projection Orthogonal: Importance of Orthogonal Bases

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (25)

Page 2 of 3

Orthogonal Families and Projections

Explains orthogonal families, bases, and projections in vector spaces.

Projection in Vector Spaces

Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.

Linear Algebra: Matrices and Vector Spaces

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Orthogonal Bases in Vector Spaces

Covers orthogonal bases, Gram-Schmidt method, linear independence, and orthonormal matrices in vector spaces.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including linear transformations, projections, matrices, and trace properties.

Linear Transformations: Matrices and Bases

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Orthogonal Complement and Projection

Covers the concept of orthogonal complement and projection in vector spaces.

Linear Transformations: Matrices and Bases

Covers the method to calculate the images of vectors in a given base.

Linear Algebra: Matrix Representation

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Finding Orthogonal/Orthonormal Base: First Step

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.