This is a Python script that checks whether a set of vectors is linearly independent or not. It uses the Gaussian elimination method to reduce the vectors to row-echelon form, and then checks if there ...

This course focuses on lines and planes, the geometry and algebra of vectors, systems of linear equations, matrix algebra, linear independence, spanning sets, basis, linear transformations, ...

Linear algebra is a compulsory course for engineering majors in universities. There are many important concepts in linear algebra. For example, linear correlation and linear independence, solution ...

We met the idea of a linear combination of matrices in chapter 3. We will now expand the definition so that we can talk about linear combinations of elements of any vector space. A sequence which is ...

4 Linear Independence, Bases, and Dimension 4.1, 4.3, 4.4, 4.5, 4.6 4.2 5 Row Operations on Matrices 5.1, 5.2 5.3 6 Homogeneous Systems 6.1, 6.2 7 The General System ...

Abstract: In this paper a novel online learning algorithm for support vector machine is proposed. In this algorithm support vector are extracted based on the property ...