15XX 


Linear and multilinear algebra; matrix theory 

15Axx 

Basic linear algebra 


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] 


15A16 
Matrix exponential and similar functions of matrices 


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] 


15A39 
Linear inequalities 


15A42 
Inequalities involving eigenvalues and eigenvectors 


15A45 
Miscellaneous inequalities involving matrices 


15A54 
Matrices over function rings in one or more variables 


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 


15A80 
Maxplus and related algebras 


15A83 
Matrix completion problems 


15A86 
Linear preserver problems 


15A99 
Miscellaneous topics 