Python Labs and Interactive Pages

This page collects the computational materials for the book.

The Python labs are designed for Google Colab. The interactive HTML pages are designed for visual exploration and quick classroom demonstrations.

Chapter	Topic	Python Lab	Interactive HTML
1	From Equations to Linear Systems	Open in Colab	Interactive page
2	Matrices, Vectors, and Augmented Systems	Open in Colab	Interactive page
3	Row Reduction and Gauss–Jordan Elimination	Open in Colab	Interactive page
4	Matrix Algebra and Matrix Multiplication	Open in Colab	Interactive page
5	Inverses, Elementary Matrices, and the Invertible Matrix Theorem	Open in Colab	Interactive page
6	Vectors, Linear Combinations, and Span	Open in Colab	Interactive page
7	Linear Independence, Bases, and Dimension	Open in Colab	Interactive page
8	Subspaces of R^n	Open in Colab	Interactive page
9	Coordinates and Change of Basis	Open in Colab	Interactive page
10	Linear Transformations in R^n	Open in Colab	Interactive page
11	Composition, Matrix Products, and Inverse Transformations	Open in Colab	Interactive page
12	Length, Distance, Dot Product, and Orthogonality	Open in Colab	Interactive page
13	Orthogonal Projection	Open in Colab	Interactive page
14	Gram–Schmidt, QR Factorization, and Numerical Orthogonality	Open in Colab	Interactive page
15	Least Squares and Data Fitting	Open in Colab	Interactive page
16	Determinants and Volume	Open in Colab	Interactive page
17	Eigenvalues and Eigenvectors	Open in Colab	Interactive page
18	Diagonalization and Discrete Dynamical Systems	Open in Colab	Interactive page
19	Orthogonal Matrices and Symmetric Matrices	Open in Colab	Interactive page
20	Quadratic Forms and Optimization Geometry	Open in Colab	Interactive page
21	Singular Values and the Singular Value Decomposition	Open in Colab	Interactive page
22	Linear Algebra for Data and AI	Open in Colab	Interactive page