Abstract:

This abstract provides an overview of three interconnected topics in matrix theory: spectral theory, K-spectral theory, and inequalities of K-idempotent matrices. Spectral theory is a fundamental branch of linear algebra that deals with the study of eigenvalues and eigenvectors of matrices. It plays a crucial role in various applications across different fields, including physics, engineering, and data analysis. The extension of spectral theory to K-spectral theory involves the investigation of matrices with a specific class of eigenvalues known as K-eigenvalues. These Keigenvalues are more general than the traditional eigenvalues, as they consider the properties of K-idempotent matrices. A K-idempotent matrix is a square matrix that satisfies the equation A^2 = KA, where K is a non-negative integer.

Description:

Special, Matrices, Eigenvalues, Matrices, Theory