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 tw...

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Bibliographic Details
Format eBook
LanguageEnglish
Published IntechOpen 2018
Subjects
2000 ams subject classifications: 15a15
Algebra
eigenvalues
exact finite differences derivative
Mathematics
Mathematics and Science
moore-penrose inverse
quaternion matrix
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Summary: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.
ISBN:9781789234671
1789234670
9781789234664
1789234662
9781838815271
1838815279
DOI:10.5772/intechopen.71169