 178
Abel's formula 112
Adjugate 94 107
Algebraic multiplicity 209
Augmented matrix 14
Basic solution 130
Basic variables 130
Basis 170
Bounded linear transformations 258
Cartesian coordinates 20
Cauchy sequence 255
Cauchy — Schwarz 25
Cauchy — Schwarz inequality 218 255
Cayley — Hamilton theorem 110
Centrifugal acceleration 82
centripetal acceleration 81
Characteristic equation 137
Characteristic polynomial 110
Characteristic value 137
Cofactor 90 105
Column rank 115
Complex conjugate 9
complex numbers 8
Component 31
Condition number 265
Conformable 60
coordinates 19
Coriolis acceleration 82
Coriolis acceleration, earth 83
Coriolis force 82
Courant — Fischer theorem 240
Cramer's rule 95 107
Defective 143
Determinant 100
Determinant, product 104
Determinant, transpose 102
Diagonalizable 150 153 190
Differentiable matrix 77
Dimension of vector space 172
Direct sum 181
Directrix 42
Distance formula 22 25
Dominant eigenvalue 279
Dot product 34
Eigenspace 139 178 208
Eigenvalue 137 178
Eigenvalues 164
Eigenvector 137
Einstein summation convention 52
Elementary matrices 122
Equality of mixed partial derivatives 161
Equivalence class 189
Equivalence of norms 258
Equivalence relation 189
Exchange theorem 73
Feasible solutions 130
Field axioms 8
Foucalt pendulum 84
Fredholm alternative 228
Fundamental theorem of algebra 315
Gambler's ruin 212
Gauss — Jordan method for inverses 66
Gauss — Seidel method 272
Generalized eigenspace 178 208 209
Gerschgorin's theorem 163
Gramm — Schmidt process 154 220
Grammian 232
Hermitian 157
Hermitian matrix, positive part 313
Hermitian, positive definite 243
Hessian matrix 161
Hilbert space 237
Holder's inequality 261
Inconsistent 16
Inner product 34 217
Inner product space 217
Inverses and determinants 93 106
Invertible 64
Jocobi method 269
Jordan block 193
Joule 40
Ker 119
Kilogram 48
Kroneker delta 51
Laplace expansion 90 105
Least squares 227
linear combination 72 103 115
Linear transformation 175
Linearly dependent 73
| Linearly independent 73 170
Main diagonal 91
Markov chain 207
Markov matrix 201
Markov matrix, steady state 201
Matrix 55
Matrix of linear transformation 187
Matrix, inverse 64
Matrix, left inverse 107
Matrix, lower triangular 91 107
Matrix, non defective 157
Matrix, normal 157
Matrix, right inverse 107
Matrix, self adjoint 150 153
Matrix, symmetric 150 153
Matrix, upper triangular 91 107
Metric tensor 232
Migration matrix 206
Minimal polynomial 177
Minor 90 105
Monic polynomial 177
Moore — Penrose inverse 250
Moving coordinate system 78
Moving coordinate system, acceleration 81
Newton 32
Nilpotent 185
normal 247
Null and rank 228
Nullity 119
Operator norm 258
Parallelogram identity 253
Permutation matrices 122
Permutation symbol 51
Perron's theorem 302
Pivot 131
Pivot column 119 130
Polar decomposition, left 247
Polar decomposition, right 245
Polar form complex number 9
Principle directions 145
Product rule, matrices 77
Random variables 207
Rank 116
Rank of a matrix 108 115
Rank one transformation 224
Real numbers 7
Real Schur form 156
Regression line 227
Resultant 32
Riesz representation theorem 222
Right Cauchy Green strain tensor 245
Row operations 15 115 122
Row rank 115
Row reduced echelon form 118
Scalar product 34
Scalars 11 20 55
Second Derivative Test 163
Self adjoint 157
Similar matrices 188
Similarity transformation 188
Simplex algorithm 130
Simplex table 129
Simplex tableau 129
Simultaneous corrections 269
Simultaneously diagonalizable 236
Singular value decomposition 248
Singular values 248
Skew symmetric 63 149
Slack variables 129
span 72 103
Spectral mapping theorem 312
Spectral norm 260
Spectral radius 265
Spectrum 137
Stationary transition probabilities 207
Stochastic matrix 207
Strictly upper triangular 193
subspace 72 170
symmetric 63 149
Taylor's formula 161
Tensor product 224
Triangle inequality 26 35
Trivial 72
Vector space 57 169
Vectors 30
wronskian 112
zz37A 55
zz37B, A 56
zz46B 297
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