Hadamard and Outer Products
Chapter 10: Matrix Block Partitioning — Hadamard vs Outer Products (also appears in Ch. 2)
From the book
Chapter 10: Matrix Block Partitioning. In the chapter mind map this icon labels Hadamard vs Outer Products. The discussion below is excerpted and lightly edited from § Opening in Mathematics for AI and Machine Learning. Related material also appears in Chapter 2 (Outer Product ($\mathbf{u}\mathbf{v}^\top$) & Hadamard ($A \odot B$)).
Block matrices and Kronecker products: structural tools for scalable computation
What this drawing shows
What you see. Contrasts elementwise multiplication with outer-product expansion, two common ways to combine vectors or matrices.
In the mind map. Chapter 10 — Hadamard vs Outer Products. See From the book above for definitions, figures, and worked examples.
Also appears in Ch. 2 (Outer Product () & Hadamard ()).
Where to read next
Read the full definitions, figures, and worked examples in Chapter 10: Matrix Block Partitioning — see the mind-map node Hadamard vs Outer Products.
This concept is also referenced in Chapter 2 (Outer Product () & Hadamard ()).
