Rank of Sum & Product Bounds
Chapter 4: QR Decomposition and Numerical Rank — Rank of Sum & Product Bounds
From the book
Chapter 4: QR Decomposition and Numerical Rank. In the chapter mind map this icon labels Rank of Sum & Product Bounds. The discussion below is excerpted and lightly edited from § Theorem: Rank of Product in Mathematics for AI and Machine Learning.
For $A \in \mathbb{R}^{M \times d}$ and $B \in \mathbb{R}^{d \times N}$,
What this drawing shows
What you see. Rank of a product: `AB = A @ B` through a narrow inner dimension, so.
In the mind map. Chapter 4 — Rank of Sum & Product Bounds. See From the book above for definitions, figures, and worked examples.
Where to read next
Read the full definitions, figures, and worked examples in Chapter 4: QR Decomposition and Numerical Rank — see the mind-map node Rank of Sum & Product Bounds.
