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Weld L.G. — Mathematical Monographs No. 3. Determinants |
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Предметный указатель |
Alternant 21
arrays, rectangular 33
Arrays, square 10 11
Binomial, factors, removal of 20
Cauchy 7 11 27
Cauchy’s method of expansion 26
Cayley 7
Co-factors 21 37
Columns and rows 10 16 17
Composition of parallel lines 19
Consistence of equations 33
covariants 45 50 52
Cramer 7
De l’Hospital 7
Development of determinants 23
Differentiation 28
Discriminant 46 47
Eliminant, of linear systems 33
Eliminant, Sylvester’s dialytic 38
Equations, Linear Systems of 31 40
Even permutations 8
Gauss 7
hessian 51
Homogeneous systems 33
Implicit functions, Jacobian of 30
Indirect functions, Jacobian of 49
Interchange of elements 9
Interchange of rows and columns 16
Invariant 46 47
Inversions and permanences 8 9
jacobi 7
Jacobian 48
Lagrange 7
Laplace 34
Leibnitz 7
| Linear systems of equations 31 33 33
Linear transformations 40 44
Lowering the order 30
Matrix 35
Minor 21
Multiplication of determinants 18 40
Multiplication of matrices 43
Multiplication, theorem 40
Negative permutations 8 10
Notation of determinants 13
Odd permutations 8
Order of determinant 12
Parallel lines 17
Permanences and inversions 8 9
Permutations, positive and negative 8 10
Polynomial elements 18
Positive permutations 8 10
Product of determinants 40 42
Product of rectangular arrays 43
Quadric 43 51
Quantic 45 46 47
Raising the order 29
Reciprocal determinants 44
Resultant 34
rows and columns 10 16
Sarrus’s rule 14
Solution of linear systems 31
Sylvester 7 38
Sylvester’s method of elimination 38
Transformations, linear 44
Transformations, unimodular 45
Unimodular transformations 45
Vandermonde 7
Zero determinants 37
Zero formulas 25
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