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1 Linear Algebra Դ
2 determinant ʽ
3 row
4 column
5 element Ԫ
6 diagonal Խ
7 principal diagona Խ
8 auxiliary diagonal ζԽ
9 transposed determinant תʽ
10 triangular determinants ʽ
11 the number of inversions
12 even permutation
13 odd permutation ż
14 parity ż
15 interchange
16 absolute value ֵ
17 identity ʽ
18 n-order determinants nʽ
19 evaluation of determinant ʽֵ
20 Laplace’s expansion theorem ˹չ
21 cofactor ʽ
22 Algebra cofactor ʽ
23 the Vandermonde determinant ʽ
24 bordered determinant ӱʽ
25 reduction of the order of a determinant
26 method of Recursion relation Ʒ
27 induction ɷ
28 Cramer´s rule ķ
29 matrix
30 rectangular ε
31 the zero matrix
32 the identity matrix λ
33 symmetric ԳƵ
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34 skew-symmetric ԳƵ
35 commutative law
36 square Matrix
37 a matrix of order m×n m×n
38 the determinant of matrix A Aʽ
39 operations on Matrices
40 a transposed matrix תþ
41 an inverse matrix
42 an conjugate matrix
43 an diagonal matrix ԽǾ
44 an adjoint matrix
45 singular matrix
46 nonsingular matrix
47 elementary transformations ȱ任
48 vectors
49 components
50 linearly combination
51 space of arithmetical vectors ռ
52 subspace ӿռ
53 dimension ά
54 basis
55 canonical basis 淶
56 coordinates
57 decomposition ֽ
58 transformation matrix ɾ
59 linearly independent
60 linearly dependent
61 the minor of the kth order kʽ
62 rank of a Matrix
63 row vectors
64 column vectors
65 the maximal linearly independent subsystem
66 Euclidean space ŷ¿ռ
67 Unitary space Ͽռ
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68 systems of linear equations Է
69 elimination method Ԫ
70 homogenous ε
71 nonhomogenous ε
72 equivalent ȼ۵
73 component-wise ʽ
74 necessary and sufficient condition Ҫ
75 incompatiable
76 unique solution Ψһ
77 the matrix of the coefficients ϵ
78 augmented matrix
79 general solution ͨ
80 particular solution ؽ
81 trivial solution
82 nontrivial solution
83 the fundamental system of solutions ϵ
84 eigenvalue ֵ
85 eigenvector
86 characteristic polynomial ʽ
87 characteristic equation
88 scalar product ڻ
89 normed vector λ
90 orthogonal
91 orthogonalization
92 the Gram-Schmidt process
93 reducing a matrix to the diagonal form Խǻ
94 orthonormal basis
95 orthogonal transformation 任
96 linear transformation Ա任
97 quadratic forms
98 canonical form
99 the canonical form of a quadratic form ͵ı
100 the method of separating perfect squares ȫƽ
101 the second-order curve
102 coordinate transformation 任