An Introduction to Linear AlgebraClarendon Press, 1972 - 440 pages |
À l'intérieur du livre
Résultats 1-3 sur 50
Page 116
... operator L with respect to the bases B , B * of M , M * . In symbols : R ( L ; B , B * ) . A = Suppose now that we take new bases in M and M * . With respect to these bases ... operator which transforms every 116 IV , § 4.2 LINEAR OPERATORS.
... operator L with respect to the bases B , B * of M , M * . In symbols : R ( L ; B , B * ) . A = Suppose now that we take new bases in M and M * . With respect to these bases ... operator which transforms every 116 IV , § 4.2 LINEAR OPERATORS.
Page 127
... operator 22 22 მ 2 + + - K a Ət ' · ( 4.4.1 ) = then this equation can be rewritten in the operational form Nu 0. Now the functions of the four variables x , y , z , t which possess all the requisite partial derivatives form a linear ...
... operator 22 22 მ 2 + + - K a Ət ' · ( 4.4.1 ) = then this equation can be rewritten in the operational form Nu 0. Now the functions of the four variables x , y , z , t which possess all the requisite partial derivatives form a linear ...
Page 355
... operator which it represents with respect to B , C is uniquely determined by ( 12.1.2 ) and ( 12.1.1 ) . The representation of a bilinear operator by a bilinear form ( or by a matrix ) depends , of course , on the arbitrary choice of ...
... operator which it represents with respect to B , C is uniquely determined by ( 12.1.2 ) and ( 12.1.1 ) . The representation of a bilinear operator by a bilinear form ( or by a matrix ) depends , of course , on the arbitrary choice of ...
Table des matières
DETERMINANTS VECTORS MATRICES | 1 |
VECTOR SPACES AND LINEAR MANIFOLDS | 39 |
THE ALGEBRA OF MATRICES | 72 |
12 autres sections non affichées
Autres éditions - Tout afficher
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