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 vi
... functions of a square matrix 3.8 . Partitioned matrices IV . LINEAR OPERATORS 5 14 24 27 162122 39 43 48 57 62 97 100 87 90 ទី ១ ៖ ១ ៖ ៨ ៩ ន 72 74 4.1 . Change of basis in a linear manifold 111 4.2 . Linear operators and their ...
... functions of a square matrix 3.8 . Partitioned matrices IV . LINEAR OPERATORS 5 14 24 27 162122 39 43 48 57 62 97 100 87 90 ទី ១ ៖ ១ ៖ ៨ ៩ ន 72 74 4.1 . Change of basis in a linear manifold 111 4.2 . Linear operators and their ...
Page vii
... functions of matrices 195 199 201 7.4 . The minimum polynomial and the theorem of Cayley and Hamilton 202 7.5 . Estimates of characteristic roots 208 7.6 . Characteristic vectors 214 VIII . ORTHOGONAL AND UNITARY MATRICES 8.1 ...
... functions of matrices 195 199 201 7.4 . The minimum polynomial and the theorem of Cayley and Hamilton 202 7.5 . Estimates of characteristic roots 208 7.6 . Characteristic vectors 214 VIII . ORTHOGONAL AND UNITARY MATRICES 8.1 ...
Page viii
... functions 330 11.3 . The relation between matrix functions and matrix poly- nomials 341 11.4 . Systems of linear differential equations 343 PART III QUADRATIC FORMS XII . BILINEAR , QUADRATIC , AND HERMITIAN FORMS 12.1 . Operators and ...
... functions 330 11.3 . The relation between matrix functions and matrix poly- nomials 341 11.4 . Systems of linear differential equations 343 PART III QUADRATIC FORMS XII . BILINEAR , QUADRATIC , AND HERMITIAN FORMS 12.1 . Operators and ...
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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