Abstract linear algebra. With revisions by Paul Place

zbMath0711.15002MaRDI QIDQ1188718

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Publication date: 17 September 1992

Published in: Universitext (Search for Journal in Brave)

zbMATH Keywords

direct sumsCayley-Hamilton theoremeigenvaluesdeterminantspolynomialsinner productCayley numbersmatricesquaternionsJordan formringsexterior algebrainner product spaceslinear algebraoctonionsvector spacesspectral theoremCauchy-Schwarz inequalitydual spacesGram-Schmidt orthonormalizationHurwitz's theoremDimension theorycalibrated geometriesfinite-dimensional real normed algebrasorthogonal and unitary groups

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic systems of matrices (15A30) General theory of topological algebras (46H05) 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)

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