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| Авторизация |
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| Поиск по указателям |
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| Beezer R.A. — A First Course in Linear Algebra |
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| Предметный указатель |
Theorem, RLTS 502
Theorem, RMRT 363
Theorem, RNNM 352
Theorem, ROD 818
Theorem, ROSLT 522
Theorem, RPI 506
Theorem, RPNC 352
Theorem, RPNDD 522
Theorem, RREFU 33
Theorem, RSLT 503
Theorem, RSMS 309
Theorem, SCB 586
Theorem, SER 438
Theorem, SLEMM 200
Theorem, SLSLC 98
Theorem, SLTB 506
Theorem, SLTD 507
Theorem, SLTLT 471
Theorem, SMEE 439
Theorem, SMEZV 293
Theorem, SMS 191
Theorem, SMZD 393
Theorem, SMZE 424
Theorem, SNCM 232
Theorem, SS 222
Theorem, SSLD 345
Theorem, SSNS 122
Theorem, SSRLT 505
Theorem, SSS 305
Theorem, SUVB 331
Theorem, SVD 835
Theorem, TD 823
Theorem, TDEE 827
Theorem, technique T 688
Theorem, TIST 798
Theorem, TL 797
Theorem, TMA 191
Theorem, TMSM 191
Theorem, TSE 798
Theorem, TSRM 798
Theorem, TSS 300
Theorem, TT 191
Theorem, TTMI 217
Theorem, UMCOB 340
Theorem, UMI 233
Theorem, UMPIP 234
Theorem, USR 839
Theorem, UTMR 604
Theorem, VFSLS 104
Theorem, VRI 539
Theorem, VRILT 540
Theorem, VRLT 535
Theorem, VRRB 323
Theorem, VRS 539
Theorem, VSLT 473
Theorem, VSPCV 90
Theorem, VSPM 188
Theorem, ZSSM 292
Theorem, ZVSM 292
Theorem, ZVU 291
TI83 (section) 676
Ti83, matrix entry (computation) 676
Ti83, row reduce (computation) 677
Ti83, vector linear combinations (computation) 677
TI86 (section) 675
Ti86, matrix entry (computation) 675
Ti86, row reduce (computation) 676
Ti86, transpose of a matrix (computation) 676
Ti86, vector linear combinations (computation) 676
TIS (example) 631
TIST (theorem) 798
TIVS (example) 540
TKAP (example) 486
TL (theorem) 797
TLC (example) 95
TM (definition) 190
TM (example) 190
TM (notation) 190
TM (subsection, section OD) 603
TM.MMA (computation, section MM A) 674
TM.TI86 (computation, section TI86) 676
TMA (theorem) 191
TMP (example) 4
TMSM (theorem) 191
TOV (example) 176
Trace, definition T 797
Trace, linearity, theorem TL 797
Trace, matrix multiplication, theorem TSRM 798
Trace, notation 797
Trace, similarity, theorem TIST 798
Trace, sum of eigenvalues, theorem TSE 798
Trail mix, example TMP 4
Transpose of a matrix, mathematica 674
Transpose of a matrix, ti86 676
Transpose of a transpose, theorem TT 191
Transpose, example TM 190
Transpose, matrix addition, theorem TMA 191
Transpose, matrix inverse 223
Transpose, matrix scalar multiplication, theorem TMSM 191
Transpose, notation 190
Transpose, scalar multiplication 192
TREM (example) 29
Triangular decomposition, entry by entry, size 6, example TDEE6 828
Triangular decomposition, entry by entry, theorem TDEE 827
Triangular decomposition, size 4, example TD4 824
Triangular decomposition, solving systems of equations, example TDSSE 826
Triangular decomposition, theorem TD 823
Triangular matrix, inverse, theorem ITMT 604
Trivial solution, system of equations, definition TSHSE 63
TS (definition) 303
TS (subsection, section S) 300
TSE (theorem) 798
TSHSE (definition) 63
TSM (subsection, section MO) 190
TSRM (theorem) 798
TSS (section) 51
TSS (subsection, section S) 304
TSS (theorem) 300
TSVS (definition) 319
TT (theorem) 191
TTMI (theorem) 217
TTS (example) 12
Typical systems,  , example TTS 12
U (archetype) 771
U (technique, section PT) 692
UM (definition) 232
UM (subsection, section MINM) 232
UM3 (example) 232
UMCOB (theorem) 340
UMI (theorem) 233
UMPIP (theorem) 234
Unique solution,  , example US 16
Unique solution, , example USR 29
Uniqueness, technique U 692
Unit vectors, basis, theorem SUVB 331
Unit vectors, definition SUV 177
Unit vectors, orthogonal, example SUVOS 177
Unitary matrices, columns, theorem CUMOS 233
Unitary matrix, inner product, theorem UMPIP 234
Unitary, permutation matrix, example UPM 232
Unitary, size 3, example UM3 232
UPM (example) 232
| Upper triangular matrix, definition UTM 603
US (example) 16
USR (example) 29
USR (theorem) 839
UTM (definition) 603
UTMR (subsection, section OD) 604
UTMR (theorem) 604
V (acronyms, section O) 185
V (archetype) 773
V (chapter) 87
VA (example) 89
Vandermonde matrix, definition VM 809
Vandermonde matrix, determinant, theorem DVM 809
Vandermonde matrix, nonsingular, theorem NVM 811
Vandermonde matrix, size 4, example VM4 809
VEASM (subsection, section VO) 87
Vector addition, example VA 89
Vector component, notation 26
Vector form of solutions, Archetype D, , example VFSAD 99
Vector form of solutions, Archetype I, example VFSAI 106
Vector form of solutions, Archetype L, example VFSAL 107
Vector form of solutions, example VFS 101
Vector form of solutions, mathematica 673
Vector form of solutions, theorem VFSLS 104
Vector linear combinations, mathematica 672
Vector linear combinations, ti83 677
Vector linear combinations, ti86 676
Vector representation, example Vector representation, AVR 323
Vector representation, example VRC4 536
Vector representation, injective, theorem VRI 539
Vector representation, invertible, theorem VRILT 540
Vector representation, linear transformation, definition VR 535
Vector representation, linear transformation, notation 535
Vector representation, linear transformation, theorem VRLT 535
Vector representation, surjective, theorem VRS 539
Vector representation, theorem VRRB 323
Vector representations, polynomials, example VRP2 538
Vector scalar multiplication, example CVSM 89
Vector space of column vectors, notation 87
Vector space of functionsexample VSF 288
Vector space of infinite sequences, example VSIS 288
Vector space of matrices, definition VSM 187
Vector space of matrices, example VSM 287
Vector space of matrices, notation 187
Vector space of polynomials, example VSP 287
Vector space properties, column vectors, theorem VSPCV 90
Vector space properties, matrices, theorem VSPM 188
Vector space, characterization, theorem CFDVS 540
Vector space, column vectors, definition VSCV 87
Vector space, crazy, example CVS 289
Vector space, definition VS 285
Vector space, infinite dimension, example VSPUD 350
Vector space, linear transformations, theorem VSLT 473
Vector space, over integers mod 5, example VSIM5 791
Vector space, singleton, example VSS 289
Vector spaces, isomorphic, definition IVS 520
Vector spaces, isomorphic, theorem IFDVS 540
Vector, addition, definition CVA 88
Vector, column, definition CV 25
Vector, equality, definition CVE 88
Vector, equality, notation 88
Vector, inner product, definition IP 172
Vector, norm, definition NV 175
Vector, notation 26
Vector, of constants, definition VOC 26
Vector, product with matrix 199 202
Vector, product with matrix, scalar multiplication, definition CVSM 89
VESE (example) 88
VFS (example) 101
VFSAD (example) 99
VFSAI (example) 106
VFSAL (example) 107
VFSLS (theorem) 104
VFSS (subsection, section LC) 99
VFSS.MMA (computation, section MM A) 673
VLC.MMA (computation, section MM A) 672
VLC.TI83 (computation, section TI83) 677
VLC.TI86 (computation, section TI86) 676
VM (definition) 809
VM (section) 809
VM4 (example) 809
VO (section) 87
VOC (definition) 26
VR (definition) 535
VR (notation) 535
VR (section) 535
VR (subsection, section LISS) 323
VRC4 (example) 536
VRI (theorem) 539
VRILT (theorem) 540
VRLT (theorem) 535
VRP2 (example) 538
VRRB (theorem) 323
VRS (theorem) 539
VS (acronyms, section PD) 373
VS (chapter) 285
VS (definition) 285
VS (section) 285
VS (subsection, section VS) 285
VSCV (definition) 87
VSCV (example) 287
VSCV (notation) 87
VSF (example) 288
VSIM5 (example) 791
VSIS (example) 288
VSLT (theorem) 473
VSM (definition) 187
VSM (example) 287
VSM (notation) 187
VSP (example) 287
VSP (subsection, section MO) 188
VSP (subsection, section VO) 90
VSP (subsection, section VS) 291
VSPCV (theorem) 90
VSPM (theorem) 188
VSPUD (example) 350
VSS (example) 289
W (archetype) 775
WILA (section) 3
X (archetype) 777
Z (Property) 285
ZC (Property) 90
ZCN (Property) 680
ZCV (definition) 26
ZCV (notation) 26
Zero column vector, definition ZCV 26
Zero column vector, notation 26
Zero matrix, notation 190
Zero vector, column vectors, Property ZC 90
Zero vector, matrices, Property ZM 189
Zero vector, unique, theorem ZVU 291
Zero vector, vectors, Property Z 285
Zero, complex numbers, Property ZCN 680
Zero, field, Property ZF 790
ZF (Property) 790
ZM (definition) 190
ZM (notation) 190
ZM (Property) 189
ZNDAB (example) 394
ZSSM (theorem) 292
ZVSM (theorem) 292
ZVU (theorem) 291
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