Mathematics for AI and Machine Learning

Foundations for modern AI and machine learning

Pseudoinverse

Chapter 8 Linear algebra

Chapter 8: Singular Value Decomposition (SVD) — Pseudoinverse

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Pseudoinverse — high-resolution mind-map icon

From the book

Chapter 8: Singular Value Decomposition (SVD). In the chapter mind map this icon labels Pseudoinverse: $A^\dagger = V\Sigma^\dagger U^\top$. The discussion below is excerpted and lightly edited from § Opening in Mathematics for AI and Machine Learning.

Singular Value Decomposition: the fundamental matrix factorization for data analysis

What this drawing shows

What you see. Represents the generalized inverse used for least-squares and rank-deficient systems.

In the mind map. Chapter 8 — Pseudoinverse. See From the book above for definitions, figures, and worked examples.

Where to read next

Open Chapter 8 companion →

Read the full definitions, figures, and worked examples in Chapter 8: Singular Value Decomposition (SVD) — see the mind-map node Pseudoinverse.