Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India. The classical Cayley-Hamilton theorem [1-4] says that every square matrix satisfies its own characteristic ...

Abstract: The use of the, adjoint matrix for finding eigenvectors, the Bezout theorem, the Cayley-Hamilton theorem, Fadeev's method, and other results are generalized to the case of a regular matrix ...

Abstract: The Cayley-Hamilton theorem is an important theorem of linear algebra which is well known and used in system theory. Unfortunately, this powerful result is practically never used in robotics ...

This project implements an application that generates a random 3 × 3 matrix with entries from the finite field Z_5, computes its characteristic polynomial, determines its eigenvalues, and verifies the ...

ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant ...