A Concise Text on Advanced Linear Algebra
DOI10.1017/CBO9781316103845zbMath1311.15001OpenAlexW4301011744MaRDI QIDQ2925439
Publication date: 22 October 2014
Full work available at URL: https://doi.org/10.1017/cbo9781316103845
Cayley-Hamilton theoremquadratic formtextbookJordan canonical formquantum mechanicsdual spacedeterminantvector spacediagonalizationpositive matricesscalar productnormal operatorquotient mappingmatrix exponentialMarkov matrixPerron-Frobenius theoremdirect sumquotient spacelinear mappingvector normpositive definite formadjoint mappingSchur triangularizationchange of bases
Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Matrix exponential and similar functions of matrices (15A16)
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