Lecture

Orthogonal Families and Projections

In course

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Description

This lecture covers the concept of orthogonal families of vectors in R^n, orthogonal bases, and orthogonal projections. It explains the decomposition of vectors into orthogonal components, the properties of orthogonal bases, and the calculation of orthogonal projections. The instructor discusses the conditions for a family of vectors to be orthonormal and demonstrates the application of orthogonal projections in vector spaces.

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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