15XX 


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, skewHermitian, 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 