A Concise Text on Advanced Linear Algebra

DOI10.1017/CBO9781316103845zbMath1311.15001OpenAlexW4301011744MaRDI QIDQ2925439

Yisong Yang

Publication date: 22 October 2014

Full work available at URL: https://doi.org/10.1017/cbo9781316103845

zbMATH Keywords

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

Mathematics Subject Classification ID

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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