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| Авторизация |
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| Messer R. — Linear Algebra: Gateway to Mathematics |
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| Предметный указатель |
Model, predator-prey 56
Model, relaxation 86
modus ponens 266
Multiplication,  ultiplication 214
Multiplication, matrix 178
Multiplication, scalar 9 46
Multiplicative identity 180
Multiplicative inverse 185
Natural numbers 38 265
Natural transformation 259
Nested subspace 44
Nonsingular matrix 185
Norm on an inner product space 140
Normal vector 146
Normal vector to a plane 291
Normalization 157
Null space of a linear function 245
Nullity of a linear function 251
Odd function 162
Odd permutation 296
One-to-one function 219
Onto function 219
Ordered basis 124
Orientation 292
Orthogonal matrix 324
Orthogonal projection 146
Orthogonal set 155
Orthogonal vectors 145 152
Orthonormal set 158
Parallelogram law 142
Parallelogram path 340
Parallelogram rule 46
Parallelogram, area of 277 290
Permutation 296
Permutation, even 296
Permutation, odd 296
Peterson graph 340
Pivoting 84
Plane 51
Plane, direction vector for 51
Polarization identity 142
Polynomial 44
Polynomial, Chebyshev 172
Polynomial, Hermite 171
Polynomial, Laguerre 171
Polynomial, Legendre 171
Polynomial, orthogonal 170
Population model 192 207
Positive-definite property for a norm 150
Positive-definite property for an inner product 136
Power method 342
Predator-prey model 56
Prime number 122
Principle of complete mathematical induction 273
Principle of Mathematical Induction 267
Product, cross 288 289 290
Product, dot 137
Product, inner 136
Product, matrix 178
Projection onto a subspace 163
Projection onto a vector 152
proof 13
Proof by contradiction 115 253
Proof technique 6 13 14 107 115 267
Pythagorean Theorem 143 148 162
Quotient space 54
Raleigh quotient 342
RANGE 33 213
Rank of a linear function 251
Rank of a matrix 188
Rational numbers 114
Real numbers 5
Reduced row-echelon form 72
Reduction, Gauss — Jordan 69
Reflexive property 310
Reflexivity 53
Regression analysis 85
Regular Markov chain 196
Relaxation model 86
Right inverse 185
| Right-hand rule 294
Right-handed basis 292
Rodrigues' formula 171
Rotation 227 232 238 293 295 306
Row of a matrix 29
Row operation and determinant 275
Row operation, elementary 70
Row operation, inverse 74 190 249
Row space 248
Row-echelon form 72
scalar 9
Scalar multiplication 9 46
Scalar multiplication, for matrices 30
Scalar multiplication, function 169 217 225
Sensitivity 298
Sequence, infinite 38
Series of matrices 201 203
Set 2
Shifted power method 343
Sierpinski's triangle 259
Sign of a permutation 296
Similar matrices 310
Similarity class 310
Snowflake curve 96
Solution of a differential equation 332
Solution of a linear system 62
Solution, set 62
Solution, trivial 77
span 97 129
Spectral theorem 326
Spectrum 326
Square matrix 179
Standard basis for  288 292
Standard basis for Euclidean space 112
Standard inner product 138
State of a Markov chain 194
Stein, Gertrude 45
Subset 3
subspace 39
Subspace Theorem 40
Subspace, nested 44
Substitution 15
Subtraction 18
Symmetric linear operator 324
Symmetric matrix 321
Symmetric property 310
Symmetry 53
System of differential equation 331
System of linear equations 62
Theorem 13
Topological vector space 170
Trace 310
Transition matrix 194
Transitive property 310
Transitivity 53
Translation function 169 225
Translation vector 50 51 184
TRANSPOSE 217 280
Transpose, determinant of 281
Transposition 296
Triangle inequality 150
Trivial solution 77
union 3
Uniqueness theorem 14
Unit vector 158
Vandermonde matrix 287
Variable, free 76 118
Variable, leading 76 118
Vector 9
Vector field 55
Vector field, linear 56
Vector space 9
Vector space with integer scalars 130
Vector space with rational scalars 114
Vertex of a graph 340
wronskian 334
Zero function 217 233 250
Zero matrix 183 276
Zero vector 10 16 17
Zorn's lemma 130
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