Description:This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.Contents:
Preface
Notation
Basic Operations
Linear Equations
Kronecker Product
Traces, Determinants and Hyperdeterminants
Eigenvalues and Eigenvectors
Spectral Theorem
Commutators and Anticommutators
Decomposition of Matrices
Functions of Matrices
Cayley–Hamilton Theorem
Hadamard Product
Norms and Scalar Products
vec Operator
Nonnormal Matrices
Binary Matrices
Star Product
Unitary Matrices
Groups, Lie Groups and Matrices
Lie Algebras and Matrices
Braid Group
Graphs and Matrices
Hilbert Spaces and Mutually Unbiased Bases
Linear Differential Equations
Differentiation and Matrices
Integration and Matrices
Bibliography
Index
Readership: Undergraduate and graduate students and researchers in mathematics, physics and engineering.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Problems And Solutions In Introductory And Advanced Matrix Calculus. To get started finding Problems And Solutions In Introductory And Advanced Matrix Calculus, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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9813143819
Problems And Solutions In Introductory And Advanced Matrix Calculus
Description: This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.Contents:
Preface
Notation
Basic Operations
Linear Equations
Kronecker Product
Traces, Determinants and Hyperdeterminants
Eigenvalues and Eigenvectors
Spectral Theorem
Commutators and Anticommutators
Decomposition of Matrices
Functions of Matrices
Cayley–Hamilton Theorem
Hadamard Product
Norms and Scalar Products
vec Operator
Nonnormal Matrices
Binary Matrices
Star Product
Unitary Matrices
Groups, Lie Groups and Matrices
Lie Algebras and Matrices
Braid Group
Graphs and Matrices
Hilbert Spaces and Mutually Unbiased Bases
Linear Differential Equations
Differentiation and Matrices
Integration and Matrices
Bibliography
Index
Readership: Undergraduate and graduate students and researchers in mathematics, physics and engineering.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Problems And Solutions In Introductory And Advanced Matrix Calculus. To get started finding Problems And Solutions In Introductory And Advanced Matrix Calculus, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.