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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Page vii
... forms under the similarity group 10.3 . Diagonal canonical forms under the orthogonal similarity 292 group and the unitary similarity group 300 10.4 . Triangular canonical forms 10.5 . An intermediate canonical CONTENTS vii.
... forms under the similarity group 10.3 . Diagonal canonical forms under the orthogonal similarity 292 group and the unitary similarity group 300 10.4 . Triangular canonical forms 10.5 . An intermediate canonical CONTENTS vii.
Page viii
Leonid Mirsky. 10.4 . Triangular canonical forms 10.5 . An intermediate canonical form 10.6 . Simultaneous similarity transformations XI . MATRIX ANALYSIS 306 312 316 11.1 . Convergent matrix sequences 327 11.2 . Power series and matrix ...
Leonid Mirsky. 10.4 . Triangular canonical forms 10.5 . An intermediate canonical form 10.6 . Simultaneous similarity transformations XI . MATRIX ANALYSIS 306 312 316 11.1 . Convergent matrix sequences 327 11.2 . Power series and matrix ...
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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