Coding the matrix data and code github

Site_link post a commentAn engaging introduction to vectors and matrices and the algorithms that operate on them intended for the student who knows how to program Mathematical concepts and computational problems are motivated by applications in computer science The reader learns by doing writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications 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 A companion web site codingthematrix. Coding the matrixg github com provides data and support code Most of the assignments can be auto graded online Over two hundred illustrations including a selection of relevant xkcd comics 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 Coding the Matrix Linear Algebra through Computer Science ApplicationsVery good introduction to linear algebra particularly if you can write code in a modern language like Python 061585673X I work with a few linear algebra types so I decided a refresher was in order Many years ago in college the course I took worked up through idea of the Gram Schmidt orthonomalizing process This means I paid some of my dues but stopping just shy of where the useful concepts start to kick in processing data in a smaller sparse basis PCA etc I selected this book because of its use of Python and slowly worked through the content however I didn t code up the exercises The FFT explanation is quite good It was nice to see the author clearly state that determinants are good for making mathematical arguments but are rarely useful in computation That seems consistent with much in linear algebra as it s not uncommon for me to be reading an algorithm paper that leads with a linear algebra explanation but then goes on to say that it could never be computed using such an approach and falls back on something practical 061585673X Clear friendly with computation and maths given equal footing The XKCD humour gets old but this is the cost of complete sentences and general friendliness. Enter the matrix codes He could have gone further with the type signature approach to maths definitions than he does 061585673X Read through during first session of Coursera course on linear algebra about to have another go when the class is repeated So happy the examples are in Phython 061585673X Excellent book about linear algebra especially about its application the book covers almost all level of linear algebra suitable for both beginner and experienced Also have a much practical code example to understand them deeply 061585673X