Problems and solutions in introductory and advanced matrix calculus

By: Steeb, Willi-Hans; Hardy, YorickMaterial type: TextTextPublication details: New Jersey World Scientific 2017Edition: 2nd edDescription: x, 555 ppISBN: 9789813143791Subject(s): Mathematics: Algebra: MatricesLOC classification: QA188
Contents:
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; 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
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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;
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