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15-XX Linear and multilinear algebra; matrix theory
15A03   Vector spaces, linear dependence, rank
15A04   Linear transformations, semilinear transformations
15A06   Linear equations
15A09   Matrix inversion, generalized inverses
15A12   Conditioning of matrices [See also 65F35]
15A15   Determinants, permanents, other special matrix functions [See also 19B10, 19B14]
15A18   Eigenvalues, singular values, and eigenvectors
15A21   Canonical forms, reductions, classification
15A22   Matrix pencils [See also 47A56]
15A23   Factorization of matrices
15A24   Matrix equations and identities
15A27   Commutativity
15A29   Inverse problems
15A30   Algebraic systems of matrices [See also 16S50, 20Gxx, 20Hxx]
15A33   Matrices over special rings (quaternions, finite fields, etc.)
15A36   Matrices of integers [See also 11C20]
15A39   Linear inequalities
15A42   Inequalities involving eigenvalues and eigenvectors
15A45   Miscellaneous inequalities involving matrices
15A48   Positive matrices and their generalizations; cones of matrices
15A51   Stochastic matrices
15A52   Random matrices
15A54   Matrices over function rings in one or more variables
15A57   Other types of matrices (Hermitian, skew-Hermitian, etc.)
15A60   Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05]
15A63   Quadratic and bilinear forms, inner products [See mainly 11Exx]
15A66   Clifford algebras, spinors
15A69   Multilinear algebra, tensor products
15A72   Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]
15A75   Exterior algebra, Grassmann algebras
15A78   Other algebras built from modules
15A90   Applications of matrix theory to physics
15A99   Miscellaneous topics
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American Mathematical Society