Mathematics for AI and Machine Learning

Foundations for modern AI and machine learning

Column Vector

Chapter 2 Linear algebra

Chapter 2: Matrix — Column vector

From the book

Chapter 2: Matrix. In the chapter mind map this icon labels Column vector. The discussion below is excerpted and lightly edited from § Definition: Matrix as Horizontal Stack of Column Vectors in Mathematics for AI and Machine Learning.

Given column vectors $\mathbf a_0, \ldots, \mathbf a_{N-1} \in \mathbb{R}^{M \times 1}$ the matrix is formed by horizontally stacking these vectors.

What this drawing shows

What you see. Single-column matrix used to represent vectors in standard linear algebra notation.

In the mind map. Chapter 2 — Column vector. See From the book above for definitions, figures, and worked examples.

Where to read next

Open Chapter 2 companion →

Read the full definitions, figures, and worked examples in Chapter 2: Matrix — see the mind-map node Column vector.

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