Lecture

Vector Equations: Linear Combinations

In course

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Description

This lecture introduces the concept of echelon matrices and vector equations, focusing on the definition of echelon matrices and the properties of vector columns. It covers the addition and multiplication of vectors in R^2, as well as the general definition of R^n. The lecture also explores linear combinations of vectors and the span of vectors in R^n, providing examples and discussing the geometric interpretation of vector spans.

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Official source

https://mediaspace.epfl.ch/media/0_9b8iyb0e

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Tensor analysis

Arithmetic: Topics in arithmetic

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