Page 532 - Advanced Linear Algebra
P. 532
516 Index
cardinal number, 13 complex vector space, 36
cardinality, 12, 13 complexification, 53, 54, 82
cartesian product, 14 complexification map, 54
Cauchy sequence, 311 composition, 472
Cauchy–Schwarz inequality, 208, 303, 325 cone, 265, 414
Cayley-Hamilton theorem, 170 congruence classes, 262
center, 452 congruence relation, 88
central, 452 congruent modulo, 21, 87
centralizer, 464, 469 congruent, 9, 262
chain, 11 conjugacy class, 463
chain rule, 501 conjugate isomorphism, 222
change of basis matrix, 65 conjugate linear, 206, 221
change of basis operator, 65 conjugate linearity, 206
change of coordinates operator, 65 conjugate representation, 483
characteristic, 30 conjugate space, 350
characteristic equation, 186 conjugate symmetry, 205
characteristic polynomial, 170 connected, 281
characteristic value, 185 continuity, 340
characteristic vector, 186 continuous, 310, 492
Cholsky decomposition, 255 continuous dual space, 350
circulant matrices, 457 continuum, 16
class equation, 464 contraction, 389
classification problem, 276 contravariant tensors, 386
closed ball, 304 contravariant type, 386
closed half-spaces, 417 converge, 339, 210, 305, 330
closed interval, 143 convex combination, 414
closed, 304, 414 convex, 332, 414
closure, 306 convex hull, 415
codimension, 93 coordinate map, 51
coefficients, 36 coordinate matrix, 52, 368
column equivalent, 9 correspondence theorem, 90, 118
column rank, 52 coset, 22, 87, 118
column space, 52 coset representative, 22, 87
common eigenvector, 202 countable, 13
commutative, 17, 19, 451 countably infinite, 13
commutativity, 15, 35, 384 covariant tensors, 386
commuting family, 201 covariant type, 386
compact, 414 cycle, 391
companion matrix, 173 cyclic basis, 166
complement, 42, 120 cyclic decomposition, 149, 168
complemented, 120 cyclic group generated by, 18
complete, 40, 311 cyclic group of order, 18
complete invariant, 8 cyclic submodule, 113
complete system of invariants, 8 cyclotomic polynomial, 465
completion, 316
complex operator, 59 decomposable, 362
