Linear Algebra

DOI10.1142/8808zbMath1282.15001OpenAlexW4247751159MaRDI QIDQ5891256

Edgar G. Goodaire

Publication date: 1 November 2013

Full work available at URL: https://doi.org/10.1142/8808

zbMATH Keywords

Markov chainssingular value decompositionHermitian matriceseigenvaluestextbookeigenvectorsdeterminantsquadratic formscomputer graphicsmatriceslinear equationsorthogonalitydiagonalizationlinear recurrence relationslinear algebralinear independencevector spaceserror-correcting codelinear transformationsspectral theoremconic sectionselectrical circuitleast squares approximations\(LU\)-factorizationEuclidean \(n\)-space

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Determinants, permanents, traces, other special matrix functions (15A15) Linear codes (general theory) (94B05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Hermitian, skew-Hermitian, and related matrices (15B57) Analytic circuit theory (94C05) Linear transformations, semilinear transformations (15A04) Quadratic and bilinear forms, inner products (15A63) Direct numerical methods for linear systems and matrix inversion (65F05) Vector spaces, linear dependence, rank, lineability (15A03) Linear equations (linear algebraic aspects) (15A06) Canonical forms, reductions, classification (15A21) Affine analytic geometry (51N10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Matrix exponential and similar functions of matrices (15A16) Numerical aspects of recurrence relations (65Q30)

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