VECTOR SUBSPACES
In the article An Introduction to Vector Spaces, the meaning of vector and vector space are presented . Since a vector space is a set (with a bundle of properties), a question that can be raised is: “Are subsets ofRead More
AN INTRODUCTION TO VECTOR SPACES
The term vector is much found when we study physics or mathematics. What is the meaning of a vector, actually? In this post, the general definition of vectors will be discussed. Below is the definition of a vector space. Read More
POINT OF INTERSECTION OF TWO LINES
If two coplanar lines are not parallel then they intersect each other. Furthermore, if they are placed on the Cartesian plane, we can determine the coordinates of the point of intersection. Suppose we are given the line g and hRead More
THE SPECTRAL DECOMPOSITION OF SYMMETRIC MATRICES
The picture above is an application of singular value decomposition in image processing. This post will discuss a special case of SVD, where the matrix to be decomposed is a symmetric matrix. The study of symmetric matrices is important inRead More