Lecture

Orthogonal Vectors and Projections

Description

This lecture covers the definition and calculation of scalar products, orthogonal vectors, and orthogonal complements in vector spaces. It also introduces the concept of norm and distance in R^n, along with the calculation of norms and unit vectors. The lecture further discusses orthogonal bases, orthogonal sets, and projections in R^n, emphasizing the importance of orthonormal families of vectors.

Official source

https://mediaspace.epfl.ch/media/0_r7n74njw

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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