Basis Dimension
Chapter 1: Vector Space and Inner Product — Basis & Dimension
From the book
Chapter 1: Vector Space and Inner Product. In the chapter mind map this icon labels Basis & Dimension. The discussion below is excerpted and lightly edited from § Definition: Basis of a Space in Mathematics for AI and Machine Learning.
1. The vectors are linearly independent. 2. The vectors span $W$.
What this drawing shows
What you see. Shows a small coordinate frame with basis vectors and dimension count, representing the number of independent directions spanning a vector space.
In the mind map. Chapter 1 — Basis & Dimension. 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 1: Vector Space and Inner Product — see the mind-map node Basis & Dimension.