Key Roles of Transformation Matrices in Regression and PCA
Statistical Context: Projection and transformation matrices appear frequently in statistics, especially in regression and PCA, where they play a crucial…
Category: linear algebra
Change of Basis in Vector Space
Change of basis in vector spaces is crucial in computer graphics and machine learning. This post provides explanations and concrete example on this matter.
Subspace and Examples
The subspace is a subset of the vector space, preserving the operations and properties. This article presents the definition and examples, as well as counterexamples of this concept.
Understanding Vector Spaces with Concrete Examples
The vector space is an algebraic structure with properties of addition and multiplication, applied in many fields such as physics and machine learning. We will prove that Euclidean space and function space are vector spaces.
Matrix Properties and Remembering Tricks
1. Basic Additive Properties of Matrices: Ways to remember: We see that the basic properties of matrix addition are quite…
Tricks for remembering elementary matrix operations
Connecting matrices to systems of linear equations can indeed help in better understanding and remembering the properties of matrices. By…
Mathematical functions
A function in mathematics and computer science is a relation between a set of inputs and a set of permissible…