Lectures related to Orthogonal Projection: Example and Additional Remarks

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

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Explains orthogonal bases in R^2 and how to perform orthogonal projections.

Introduces orthogonal sets and bases, discussing their properties and linear independence.

Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.