Mathematics for AI and Machine Learning

Foundations for modern AI and machine learning

LU Factorization

Chapter 5 Linear algebra

Chapter 5: Square Matrix and LU Decomposition — Definitions

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LU Factorization — high-resolution mind-map icon

From the book

Chapter 5: Square Matrix and LU Decomposition. In the chapter mind map this icon labels $A = LU$. The discussion below is excerpted and lightly edited from § Opening in Mathematics for AI and Machine Learning.

Square matrices: triangular matrices, trace, determinants, and LU decomposition with variants and extensions

What this drawing shows

What you see. Represents decomposing a matrix into lower and upper triangular factors.

In the mind map. Chapter 5 — LU Factorization. See From the book above for definitions, figures, and worked examples.

Where to read next

Open Chapter 5 companion →

Read the full definitions, figures, and worked examples in Chapter 5: Square Matrix and LU Decomposition — see the mind-map node $A = LU$.