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Linear Algebra

[ˈlɪniər ˈældʒəbrə]
Artificial Intelligence
Last updated: December 9, 2024

Definition

The branch of mathematics dealing with linear equations, matrices, and vector spaces that forms the backbone of many AI algorithms.

Detailed Explanation

Linear algebra is the mathematical foundation that deals with linear equations and linear functions. It involves vectors, vector spaces, linear transformations, and matrices. In AI, it's crucial for representing and manipulating high-dimensional data, performing transformations, and solving systems of equations. Key concepts include matrix operations, eigendecomposition, singular value decomposition, and vector space properties.

Use Cases

Computer vision image transformations, recommendation systems, dimensionality reduction, neural network computations, optimization algorithms

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