# Singular Value Decomposition Part 1: Perspectives on Linear Algebra

DevFeed: [Singular Value Decomposition Part 1: Perspectives on Linear Algebra](<https://devfeed.tech/articles/singular-value-decomposition-part-1-perspectives-on-linear-algebra-40398.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2016/04/18/singular-value-decomposition-part-1-perspectives-on-linear-algebra/>)

Published: 2016-04-18T09:00:40Z

Content type: article

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Data analysis](<https://devfeed.tech/topics/data-analysis.md>), [Computer science](<https://devfeed.tech/topics/computer-science.md>), [Statistics](<https://devfeed.tech/topics/statistics.md>), [Optimization](<https://devfeed.tech/topics/optimization.md>)

Tags: [algorithms](<https://devfeed.tech/tags/algorithms.md>), [data-analysis](<https://devfeed.tech/tags/data-analysis.md>), [linear-algebra](<https://devfeed.tech/tags/linear-algebra.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [matrix](<https://devfeed.tech/tags/matrix.md>), [optimization](<https://devfeed.tech/tags/optimization.md>), [regression](<https://devfeed.tech/tags/regression.md>), [singular-value-decomposition](<https://devfeed.tech/tags/singular-value-decomposition.md>), [statistics](<https://devfeed.tech/tags/statistics.md>)

## AI overview

This first post in a two-part series motivates and introduces singular value decomposition (SVD). It explains how matrices can represent both linear transformations and organized data, and outlines the role of SVD in applications such as regression, prediction, and approximate optimization solutions.

## Source excerpt

The singular value decomposition (SVD) of a matrix is a fundamental tool in computer science, data analysis, and statistics. It's used for all kinds of applications from regression to prediction, to finding approximate solutions to optimization problems. In this series of two posts we'll motivate, define, compute, and use the singular value decomposition to analyze some data. (Jump to the second post) I want to spend the first post entirely on motivation and background.