Lecture

Bases: Linear Combinations and Function Spaces

Description

This lecture introduces the concept of bases in vector spaces, focusing on linear combinations and their unique representation. It explores different types of bases, such as orthogonal and orthonormal bases, and their significance in vector space transformations. The lecture also covers basis expansion, change of basis using orthonormal vectors, and provides examples of basis transformations using rotation matrices.

In MOOCs (4)

Instructors (3)

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Official source

https://mediaspace.epfl.ch/media/0_v6q28n72

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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