An Introduction to Linear AlgebraCourier Corporation, 1 janv. 1990 - 440 pages Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter. "The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. Bibliography. |
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... QUADRATIC FORMS XII . BILINEAR , QUADRATIC , AND HERMITIAN FORMS 12.1 . Operators and forms of the bilinear and quadratic types 12.2 . Orthogonal reduction to diagonal form 353 362 12.3 . General reduction to diagonal form 367 12.4 ...
... QUADRATIC FORMS XII . BILINEAR , QUADRATIC , AND HERMITIAN FORMS 12.1 . Operators and forms of the bilinear and quadratic types 12.2 . Orthogonal reduction to diagonal form 353 362 12.3 . General reduction to diagonal form 367 12.4 ...
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Expressions et termes fréquents
A₁ algebra assertion automorphism B₁ basis bilinear form bilinear operator C₁ canonical forms characteristic roots characteristic vectors coefficients columns commute complex numbers convergent coordinates Deduce defined denote determinant diagonal form diagonal matrix E-operations equal equivalence EXERCISE exists follows functions geometry given Hence hermitian form hermitian matrix identity implies inequality integers invariant space isomorphic linear equations linear manifold linear transformation linearly independent matrix group matrix of order minimum polynomial multiplication non-singular linear transformation non-singular matrix non-zero numbers nxn matrix obtain orthogonal matrix positive definite positive semi-definite possesses problems proof of Theorem prove quadratic form quadric rank relation represented respect result rotation S-¹AS satisfies scalar Show similar skew-symmetric matrix solution square matrix suppose symmetric matrix t₁ theory tion triangular unique unit element unitary matrix V₁ values variables vector space view of Theorem w₁ write x₁ y₁ zero