This is a first blog post in the series “Fundamental Theorem of Linear Algebra”, where we are working through Gilbert Strang’s paper “The fundamental theorem of linear algebra” published by American Mathematical Monthly in 1993.
In this post, we will go through the first two parts of the Fundamental Theorem: the dimensionality and the orthogonality of the Fundamental Subspaces.
This is a series of articles devoted to Gilbert Strang’s Paper “The fundamental theorem of linear algebra” published by American Mathematical Monthly in 1993.
Last week the newest Apache Mahout 0.10 was released. One of the new features it has is a new math environment called “Samsara”, or Mahout Scala/Spark Bindings.
Samsara is a Linear Algebra library for Mahout. It’s written in Scala, which makes it possible to use operator overloading and it features nice R-like or Matlab-like syntax for basic Linear Algebra operations. For example, matrix multiplication is just X %*% Y. What is more, these operations can be distributed and run by an executing environment - currently by Apache Spark.
In this article we will see how to quickly set up a basic skeleton project and then we’ll try to do some very simple analysis on a 200 MB dataset.
