An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program.
Chapters: The Function , The Field , The Vector , The Vector Space , The Matrix , The Basis , Dimension , Gaussian Elimination , The Inner Product , Special Bases , The Singular Value Decomposition , The Eigenvector , The Linear Program.
Over two hundred illustrations, including a selection of relevant xkcd comics.
Most of the assignments can be auto-graded online.
A companion web site, codingthematrix.com provides data and support code.
Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google\'s ranking algorithm), and cancer detection from cell features.
The reader learns by doing , writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications.
Mathematical concepts and computational problems are motivated by Applications in Computer science.
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program
