Home : Book details : Book description

Description of  Matrix Theory: Applications and Theorems

This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties. Contents 1 Cramer's Rules for the System of Two-Sided Matrix Equations and of Its Special Cases 2 Matrices Which are Discrete Versions of Linear Operations 3 Square Matrices Associated to Mixing Problems ODE Systems 4 Nullspace of Compound Magic Squares 5 Nature of Phyllotaxy and Topology of H-matrix