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A particularly interesting section discusses how Google's PageRank algorithm uses the dominant eigenvector to rank web pages. The links between websites are represented as a connectivity matrix, and the components of its dominant eigenvector provide an estimate of the relative importance of each page.

This is a very clear example of how an apparently abstract idea from linear algebra can underlie a real-world technology used on a massive scale.

The 2023 edition is available under a Creative Commons license. This is another excellent resource that is worth keeping as a reference.

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