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What are the main topics in the literature on linear algebra?

Vector calculus

Matrix equivalence

Multilinear map

Cellular algebra

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The main topics in the literature on linear algebra include sets and functions, groups and group homomorphisms, vector spaces and linear transformations, dimension, matrices, representations of linear transformations, inner product spaces, determinants, eigenvalues and eigenvectors, triangulation and decomposition of endomorphisms . Additionally, the literature covers operations on matrices and vectors, including topics from linear algebra, linear programming, and vector calculus . Other topics discussed include the Weyr form, centralizers, the module setting, Gerstenhaber's theorem, approximate simultaneous diagonalization, and algebraic varieties . The literature also explores the connection between linear algebra and multivariate calculus, introduces categories and functors, and discusses the importance of linear algebra in quantitative disciplines . Furthermore, the literature covers determinants, linear spaces, canonical forms of matrices and linear operators, matrices of special form, multilinear algebra, matrix inequalities, and matrices in algebra and calculus .

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Open access•Book Problems and theorems in linear algebra V. V. Prasolov 01 Jan 1994 414 Citations	The main topics in the literature on linear algebra include determinants, linear spaces, canonical forms of matrices and linear operators, matrices of special form, multilinear algebra, matrix inequalities, and matrices in algebra and calculus.
Open access Linear Algebra for Everyone Gilbert Strang 26 Nov 2020 2 Citations	The main topics in the literature on linear algebra discussed in the paper are finding independent columns, linear combinations, rank and column space, solving linear equations, orthogonality, linear transformations and subspaces, eigenvalues, singular value decomposition, and deep learning.
Open access•Book Advanced Topics in Linear Algebra: Weaving Matrix Problems through the Weyr Form Kevin C. O'Meara, John Clark, Charles I. Vinsonhaler - Show less +2 more 16 Sep 2011 49 Citations	The main topics in the literature on linear algebra include the Weyr form, centralizers, the module setting, Gerstenhaber's theorem, approximate simultaneous diagonalization, and algebraic varieties.
Open access•Book Linear Algebra: An Introduction to Abstract Mathematics Robert J. Valenza 01 Jan 2020 13 Citations	The main topics in the literature on linear algebra include sets and functions, groups and group homomorphisms, vector spaces and linear transformations, dimension, matrices, inner product spaces, determinants, eigenvalues and eigenvectors, and triangulation and decomposition of endomorphisms.
Book Chapter•DOI Matrices and vectors: topics from linear algebra and vector calculus 01 Jan 2022	The paper discusses topics from linear algebra, linear programming, and vector calculus.

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