VECTORS

A vector is a collection of numbers arranged in a column or a row and can be thought of as a point in space. We review basic notions such as independence, span, subspaces, and dimension. The scalar product allows to define the length of a vector, as well as generalize the notion of the angle between two vectors. Via the scalar product, we can view a vector as a linear function. We can also compute the projection of a vector onto a line defined by another — a basic ingredient in many visualization techniques for high-dimensional data sets.

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Linear Algebra and Applications Copyright © 2023 by VinUiversity is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, except where otherwise noted.

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