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The following are the current most viewed articles on Wikipedia within Wikipedia's Linear algebra category. Think of it as a What's Hot list for Linear algebra. More info »

This is a beta release and so the figures may be a day or two out of date. We'd love to get your thoughts.

Rank Topic Wikipedia views
1 Matrix (mathematics) 7,196 Sparkline of topic views for 2 weeks
2 Eigenvalue, eigenvector and eigenspace 5,471 Sparkline of topic views for 2 weeks
3 Dimension 5,436 Sparkline of topic views for 2 weeks
4 Dot product 5,112 Sparkline of topic views for 2 weeks
5 Determinant 5,078 Sparkline of topic views for 2 weeks
6 Invertible matrix 3,188 Sparkline of topic views for 2 weeks
7 Euclidean vector 2,976 Sparkline of topic views for 2 weeks
8 Linear algebra 2,682 Sparkline of topic views for 2 weeks
9 Vector space 2,674 Sparkline of topic views for 2 weeks
10 System of linear equations 2,317 Sparkline of topic views for 2 weeks
11 Singular value decomposition 2,301 Sparkline of topic views for 2 weeks
12 Orthogonality 2,097 Sparkline of topic views for 2 weeks
13 Transpose 2,001 Sparkline of topic views for 2 weeks
14 Norm (mathematics) 1,875 Sparkline of topic views for 2 weeks
15 Transformation matrix 1,691 Sparkline of topic views for 2 weeks
16 Trace (linear algebra) 1,649 Sparkline of topic views for 2 weeks
17 Euclidean space 1,620 Sparkline of topic views for 2 weeks
18 Rank (linear algebra) 1,600 Sparkline of topic views for 2 weeks
19 Hilbert space 1,582 Sparkline of topic views for 2 weeks
20 Unit vector 1,544 Sparkline of topic views for 2 weeks
21 Linear map 1,480 Sparkline of topic views for 2 weeks
22 Cramer's rule 1,410 Sparkline of topic views for 2 weeks
23 Linear independence 1,241 Sparkline of topic views for 2 weeks
24 Cauchy–Schwarz inequality 1,224 Sparkline of topic views for 2 weeks
25 Basis (linear algebra) 1,182 Sparkline of topic views for 2 weeks
26 Projection (linear algebra) 1,091 Sparkline of topic views for 2 weeks
27 Affine transformation 1,071 Sparkline of topic views for 2 weeks
28 Triangle inequality 1,048 Sparkline of topic views for 2 weeks
29 3D projection 967 Sparkline of topic views for 2 weeks
30 Kernel (matrix) 901 Sparkline of topic views for 2 weeks
31 Matrix norm 889 Sparkline of topic views for 2 weeks
32 Identity matrix 888 Sparkline of topic views for 2 weeks
33 Bra-ket notation 830 Sparkline of topic views for 2 weeks
34 Matrix calculus 731 Sparkline of topic views for 2 weeks
35 Line segment 686 Sparkline of topic views for 2 weeks
36 Conjugate transpose 657 Sparkline of topic views for 2 weeks
37 Gram–Schmidt process 622 Sparkline of topic views for 2 weeks
38 Linear combination 619 Sparkline of topic views for 2 weeks
39 Column space 605 Sparkline of topic views for 2 weeks
40 Adjugate matrix 583 Sparkline of topic views for 2 weeks
41 Levi-Civita symbol 574 Sparkline of topic views for 2 weeks
42 Permanent 573 Sparkline of topic views for 2 weeks
43 Linear subspace 565 Sparkline of topic views for 2 weeks
44 Linear span 557 Sparkline of topic views for 2 weeks
45 Quadratic form 490 Sparkline of topic views for 2 weeks
46 Eigendecomposition of a matrix 479 Sparkline of topic views for 2 weeks
47 Hyperplane 470 Sparkline of topic views for 2 weeks
48 Spectral theorem 455 Sparkline of topic views for 2 weeks
49 Characteristic polynomial 454 Sparkline of topic views for 2 weeks
50 Dual space 448 Sparkline of topic views for 2 weeks
51 Jordan normal form 446 Sparkline of topic views for 2 weeks
52 Orthonormal basis 441 Sparkline of topic views for 2 weeks
53 Elementary matrix 431 Sparkline of topic views for 2 weeks
54 Scalar (mathematics) 413 Sparkline of topic views for 2 weeks
55 Homogeneous coordinates 403 Sparkline of topic views for 2 weeks
56 Homogeneous function 376 Sparkline of topic views for 2 weeks
57 Dimension (vector space) 373 Sparkline of topic views for 2 weeks
58 Affine space 363 Sparkline of topic views for 2 weeks
59 Orthonormality 338 Sparkline of topic views for 2 weeks
60 Cayley–Hamilton theorem 331 Sparkline of topic views for 2 weeks
61 Cofactor (linear algebra) 304 Sparkline of topic views for 2 weeks
62 Barycentric coordinate system (mathematics) 301 Sparkline of topic views for 2 weeks
63 Tikhonov regularization 298 Sparkline of topic views for 2 weeks
64 Compressed sensing 284 Sparkline of topic views for 2 weeks
65 General linear group 281 Sparkline of topic views for 2 weeks
66 Vector-valued function 279 Sparkline of topic views for 2 weeks
67 Row and column spaces 261 Sparkline of topic views for 2 weeks
68 Matrix addition 259 Sparkline of topic views for 2 weeks
69 Non-negative matrix factorization 258 Sparkline of topic views for 2 weeks
70 Row space 240 Sparkline of topic views for 2 weeks
71 Pseudovector 238 Sparkline of topic views for 2 weeks
72 Examples of vector spaces 231 Sparkline of topic views for 2 weeks
73 Linear functional 230 Sparkline of topic views for 2 weeks
74 Kernel (algebra) 222 Sparkline of topic views for 2 weeks
75 Change of basis 221 Sparkline of topic views for 2 weeks
76 Euclidean subspace 218 Sparkline of topic views for 2 weeks
77 Overdetermined system 217 Sparkline of topic views for 2 weeks
78 Line-line intersection 208 Sparkline of topic views for 2 weeks
79 Toeplitz matrix 205 Sparkline of topic views for 2 weeks
80 Spectral theory 202 Sparkline of topic views for 2 weeks
81 Woodbury matrix identity 192 Sparkline of topic views for 2 weeks
82 Rank–nullity theorem 169 Sparkline of topic views for 2 weeks
83 Schur complement 163 Sparkline of topic views for 2 weeks
84 Column vector 162 Sparkline of topic views for 2 weeks
85 Null vector 160 Sparkline of topic views for 2 weeks
86 Coordinate vector 159 Sparkline of topic views for 2 weeks
87 Shear mapping 155 Sparkline of topic views for 2 weeks
88 List of linear algebra topics 139 Sparkline of topic views for 2 weeks
89 Rule of Sarrus 134 Sparkline of topic views for 2 weeks
90 Basis function 131 Sparkline of topic views for 2 weeks
91 Sherman–Morrison formula 131 Sparkline of topic views for 2 weeks
92 Shear matrix 130 Sparkline of topic views for 2 weeks
93 Standard basis 123 Sparkline of topic views for 2 weeks
94 Direct sum of modules 122 Sparkline of topic views for 2 weeks
95 Newton's identities 119 Sparkline of topic views for 2 weeks
96 Row vector 117 Sparkline of topic views for 2 weeks
97 Generalized eigenvector 117 Sparkline of topic views for 2 weeks
98 Split-complex number 115 Sparkline of topic views for 2 weeks
99 Orthogonal complement 115 Sparkline of topic views for 2 weeks
100 Seven-dimensional cross product 115 Sparkline of topic views for 2 weeks
101 Special linear group 113 Sparkline of topic views for 2 weeks
102 Unitary transformation 113 Sparkline of topic views for 2 weeks
103 Fundamental theorem of linear algebra 113 Sparkline of topic views for 2 weeks
104 Invariants of tensors 113 Sparkline of topic views for 2 weeks
105 Orientation (mathematics) 109 Sparkline of topic views for 2 weeks
106 Scalar multiplication 107 Sparkline of topic views for 2 weeks
107 Kernel (linear operator) 107 Sparkline of topic views for 2 weeks
108 Dual number 106 Sparkline of topic views for 2 weeks
109 Invariant subspace 106 Sparkline of topic views for 2 weeks
110 Leibniz formula for determinants 104 Sparkline of topic views for 2 weeks
111 Quotient space (linear algebra) 101 Sparkline of topic views for 2 weeks
112 Rayleigh quotient 96 Sparkline of topic views for 2 weeks
113 Direction vector 96 Sparkline of topic views for 2 weeks
114 Orthogonalization 93 Sparkline of topic views for 2 weeks
115 Pairing 91 Sparkline of topic views for 2 weeks
116 Linear inequality 83 Sparkline of topic views for 2 weeks
117 Symplectic vector space 80 Sparkline of topic views for 2 weeks
118 2 × 2 real matrices 79 Sparkline of topic views for 2 weeks
119 Pseudoscalar 78 Sparkline of topic views for 2 weeks
120 Rotation operator (vector space) 78 Sparkline of topic views for 2 weeks
121 Codimension 76 Sparkline of topic views for 2 weeks
122 Gershgorin circle theorem 76 Sparkline of topic views for 2 weeks
123 Matrix determinant lemma 76 Sparkline of topic views for 2 weeks
124 Numerical methods for linear least squares 75 Sparkline of topic views for 2 weeks
125 Polarization identity 75 Sparkline of topic views for 2 weeks
126 Row equivalence 73 Sparkline of topic views for 2 weeks
127 Coefficient matrix 72 Sparkline of topic views for 2 weeks
128 Sesquilinear form 71 Sparkline of topic views for 2 weeks
129 Fredholm alternative 71 Sparkline of topic views for 2 weeks
130 Reduction (mathematics) 69 Sparkline of topic views for 2 weeks
131 Vectorization (mathematics) 68 Sparkline of topic views for 2 weeks
132 Orthant 66 Sparkline of topic views for 2 weeks
133 Dimension theorem for vector spaces 63 Sparkline of topic views for 2 weeks
134 Orthographic projection (geometry) 60 Sparkline of topic views for 2 weeks
135 Binomial inverse theorem 59 Sparkline of topic views for 2 weeks
136 Coordinate space 57 Sparkline of topic views for 2 weeks
137 Dual basis 56 Sparkline of topic views for 2 weeks
138 Bidiagonal matrix 52 Sparkline of topic views for 2 weeks
139 Schmidt decomposition 51 Sparkline of topic views for 2 weeks
140 Sylvester's law of inertia 49 Sparkline of topic views for 2 weeks
141 Self-adjoint 48 Sparkline of topic views for 2 weeks
142 Delta operator 47 Sparkline of topic views for 2 weeks
143 Jordan–Chevalley decomposition 47 Sparkline of topic views for 2 weeks
144 Frame of a vector space 47 Sparkline of topic views for 2 weeks
145 Complex conjugate vector space 46 Sparkline of topic views for 2 weeks
146 Linear complementarity problem 46 Sparkline of topic views for 2 weeks
147 Sylvester's determinant theorem 46 Sparkline of topic views for 2 weeks
148 Principal axis theorem 46 Sparkline of topic views for 2 weeks
149 Partial trace 45 Sparkline of topic views for 2 weeks
150 Conformable matrix 43 Sparkline of topic views for 2 weeks
151 Trilinear coordinates 42 Sparkline of topic views for 2 weeks
152 Squeeze mapping 41 Sparkline of topic views for 2 weeks
153 Polynomial basis 39 Sparkline of topic views for 2 weeks
154 Immanant of a matrix 38 Sparkline of topic views for 2 weeks
155 Quadratic eigenvalue problem 37 Sparkline of topic views for 2 weeks
156 Sublinear function 35 Sparkline of topic views for 2 weeks
157 Dual norm 35 Sparkline of topic views for 2 weeks
158 Graded vector space 33 Sparkline of topic views for 2 weeks
159 Frobenius normal form 32 Sparkline of topic views for 2 weeks
160 Antilinear map 31 Sparkline of topic views for 2 weeks
161 Generalizations of Pauli matrices 31 Sparkline of topic views for 2 weeks
162 Majorization 30 Sparkline of topic views for 2 weeks
163 Defective matrix 30 Sparkline of topic views for 2 weeks
164 Eigenvalue perturbation 30 Sparkline of topic views for 2 weeks
165 Orthogonal Procrustes problem 29 Sparkline of topic views for 2 weeks
166 Linear complex structure 28 Sparkline of topic views for 2 weeks
167 Matrix congruence 28 Sparkline of topic views for 2 weeks
168 Flat (geometry) 28 Sparkline of topic views for 2 weeks
169 Choi's theorem on completely positive maps 27 Sparkline of topic views for 2 weeks
170 Nonlinear eigenproblem 27 Sparkline of topic views for 2 weeks
171 Flag (linear algebra) 26 Sparkline of topic views for 2 weeks
172 Balanced set 26 Sparkline of topic views for 2 weeks
173 Inverse eigenvalues theorem 26 Sparkline of topic views for 2 weeks
174 Matrix pencil 25 Sparkline of topic views for 2 weeks
175 Resolvent set 25 Sparkline of topic views for 2 weeks
176 Antiunitary operator 23 Sparkline of topic views for 2 weeks
177 Stabilizer code 23 Sparkline of topic views for 2 weeks
178 Independent equation 23 Sparkline of topic views for 2 weeks
179 Centrosymmetric matrix 23 Sparkline of topic views for 2 weeks
180 Golden–Thompson inequality 23 Sparkline of topic views for 2 weeks
181 Restricted isometry property 23 Sparkline of topic views for 2 weeks
182 Joint spectral radius 23 Sparkline of topic views for 2 weeks
183 Christoffel–Darboux formula 23 Sparkline of topic views for 2 weeks
184 Projection-valued measure 22 Sparkline of topic views for 2 weeks
185 Indeterminate system 22 Sparkline of topic views for 2 weeks
186 Steinitz exchange lemma 22 Sparkline of topic views for 2 weeks
187 Category of vector spaces 21 Sparkline of topic views for 2 weeks
188 Hilbert–Poincaré series 21 Sparkline of topic views for 2 weeks
189 Big M method 21 Sparkline of topic views for 2 weeks
190 Rouché–Capelli theorem 20 Sparkline of topic views for 2 weeks
191 Overcompleteness 19 Sparkline of topic views for 2 weeks
192 Generalized singular value decomposition 18 Sparkline of topic views for 2 weeks
193 Hamming space 18 Sparkline of topic views for 2 weeks
194 Commutation matrix 18 Sparkline of topic views for 2 weeks
195 Controlled invariant subspace 18 Sparkline of topic views for 2 weeks
196 Quaternionic matrix 17 Sparkline of topic views for 2 weeks
197 Relative dimension 17 Sparkline of topic views for 2 weeks
198 Orthogonal diagonalization 17 Sparkline of topic views for 2 weeks
199 Entanglement-assisted stabilizer formalism 17 Sparkline of topic views for 2 weeks
200 Canonical basis 16 Sparkline of topic views for 2 weeks
201 Spinors in three dimensions 16 Sparkline of topic views for 2 weeks
202 Eigenplane 15 Sparkline of topic views for 2 weeks
203 Change of bases 15 Sparkline of topic views for 2 weeks
204 Peetre's inequality 15 Sparkline of topic views for 2 weeks
205 Semi-simple operator 15 Sparkline of topic views for 2 weeks
206 Asymmetric norm 15 Sparkline of topic views for 2 weeks
207 Zero mode 15 Sparkline of topic views for 2 weeks
208 Zech's logarithms 14 Sparkline of topic views for 2 weeks
209 Lattice reduction 14 Sparkline of topic views for 2 weeks
210 Weyl's inequality 14 Sparkline of topic views for 2 weeks
211 Quasinorm 14 Sparkline of topic views for 2 weeks
212 Principal angles 14 Sparkline of topic views for 2 weeks
213 Closed linear span 14 Sparkline of topic views for 2 weeks
214 Normal basis 13 Sparkline of topic views for 2 weeks
215 Trace identity 13 Sparkline of topic views for 2 weeks
216 K-frame 13 Sparkline of topic views for 2 weeks
217 Integer points in convex polyhedra 13 Sparkline of topic views for 2 weeks
218 Absolutely convex set 12 Sparkline of topic views for 2 weeks
219 Purification of quantum state 12 Sparkline of topic views for 2 weeks
220 Theorems and definitions in linear algebra 12 Sparkline of topic views for 2 weeks
221 Frame (linear algebra) 12 Sparkline of topic views for 2 weeks
222 Spread of a matrix 11 Sparkline of topic views for 2 weeks
223 Field of values 11 Sparkline of topic views for 2 weeks
224 Nonnegative rank (linear algebra) 11 Sparkline of topic views for 2 weeks
225 Projectivization 11 Sparkline of topic views for 2 weeks
226 Fredholm's theorem 10 Sparkline of topic views for 2 weeks
227 Computing the permanent 10 Sparkline of topic views for 2 weeks
228 Semilinear transformation 10 Sparkline of topic views for 2 weeks
229 Segre classification 9 Sparkline of topic views for 2 weeks
230 Trace diagram 8 Sparkline of topic views for 2 weeks
231 Quaternionic vector space 8 Sparkline of topic views for 2 weeks
232 Rank factorization 8 Sparkline of topic views for 2 weeks
233 Vector spaces without fields 7 Sparkline of topic views for 2 weeks
234 Eigengap 7 Sparkline of topic views for 2 weeks
235 Reality structure 6 Sparkline of topic views for 2 weeks
236 Dual basis in a field extension less than 5 views
237 Vector quadruple product less than 5 views
238 Skew-Hamiltonian matrix less than 5 views
239 Linear algebra topics less than 5 views
240 Mixed linear complementarity problem less than 5 views
241 Whitehead's lemma less than 5 views
242 Finite dimensional von Neumann algebra less than 5 views
243 Vector spaces in mathematics less than 5 views
244 Coates graph less than 5 views
245 Stokes operator less than 5 views
246 Tapering (mathematics) less than 5 views
247 Schur–Horn theorem less than 5 views

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Encyclopedia

From Wikipedia, the free encyclopedia

Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory. It has extensive applications in the natural sciences and the social sciences, since nonlinear models can often be approximated by linear ones.

The main article for this category is Linear algebra.

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This category has the following 5 subcategories, out of 10 total.

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The following 195 pages are in this category, out of 246 total. This list may not reflect recent changes (learn more).

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Wiktionary

Up to date as of January 15, 2010

Definition from Wiktionary, a free dictionary

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The following is a list of words related to linear algebra.

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This category has the following 6 subcategories, out of 6 total.

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