An Introduction to Linear AlgebraClarendon Press, 1972 - 440 pages |
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Page v
... algebra , although some slight acquaintance with the elementary theory of determinants will be found helpful . It is not easy to estimate what level of abstractness best suits a textbook of linear algebra . Since I have aimed , above ...
... algebra , although some slight acquaintance with the elementary theory of determinants will be found helpful . It is not easy to estimate what level of abstractness best suits a textbook of linear algebra . Since I have aimed , above ...
Page 72
Leonid Mirsky. III THE ALGEBRA OF MATRICES THE algebra of matrices was first developed systematically by Cayley in a series of papers which began to appear in 1857 , and most of the results derived ... ALGEBRA OF MATRICES Elementary algebra.
Leonid Mirsky. III THE ALGEBRA OF MATRICES THE algebra of matrices was first developed systematically by Cayley in a series of papers which began to appear in 1857 , and most of the results derived ... ALGEBRA OF MATRICES Elementary algebra.
Page 434
... Algebra ( New York , 1958 ) . 5. J. W. ARCHBOLD : Algebra ( London , 1958 ) . 6. D. C. MURDOCH : Linear Algebra for Undergraduates ( New York , 1957 ) . 7. G. BIRKHOFF and S. MACLANE : A Survey of Modern Algebra ( revised edition ; New ...
... Algebra ( New York , 1958 ) . 5. J. W. ARCHBOLD : Algebra ( London , 1958 ) . 6. D. C. MURDOCH : Linear Algebra for Undergraduates ( New York , 1957 ) . 7. G. BIRKHOFF and S. MACLANE : A Survey of Modern Algebra ( revised edition ; New ...
Table des matières
DETERMINANTS VECTORS MATRICES | 1 |
VECTOR SPACES AND LINEAR MANIFOLDS | 39 |
THE ALGEBRA OF MATRICES | 72 |
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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 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 proof of Theorem prove quadratic form quadric rank relation represented respect result rotation S-¹AS satisfies scalar Show similar singular skew-symmetric matrix solution square matrix suppose symmetric matrix t₁ tion triangular unique unit element unitary matrix values vector space view of Theorem write x₁ xTAx y₁ zero α₁