Mathematics for AI and Machine Learning

Foundations for modern AI and machine learning

Lower Triangular Matrix

Chapter 2 Mathematics for AI

Chapter 2: Matrix — Lower triangular (also appears in Ch. 5)

High-resolution PNG
Lower Triangular Matrix — high-resolution mind-map icon

From the book

Chapter 2: Matrix. In the chapter mind map this icon labels Lower triangular. The discussion below is excerpted and lightly edited from § Opening in Mathematics for AI and Machine Learning. Related material also appears in Chapter 5 (Triangular Matrices & Transpose).

Matrix operations and linear transformations: from vectors to matrices

What this drawing shows

What you see. Matrix with nonzero entries on and below the main diagonal, used in forward substitution and LU factors.

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

Also appears in Ch. 5 (Triangular Matrices & Transpose).

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 Lower triangular.

This concept is also referenced in Chapter 5 (Triangular Matrices & Transpose).