1063:
1327:
27:
This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices.
1356:
387:
921:
1312:
125:
404:
745:
533:
464:
1302:
1264:
1200:
740:
250:
73:
1042:
914:
528:
382:
230:
130:
1147:
997:
826:
699:
240:
110:
1052:
946:
889:
455:
41:
1292:
894:
858:
635:
545:
450:
115:
1167:
606:
469:
56:
1284:
816:
647:
474:
226:
1351:
1330:
1037:
907:
868:
559:
1094:
1027:
1017:
706:
689:
568:
511:
352:
51:
1254:
1109:
1104:
1099:
1032:
977:
801:
677:
672:
580:
506:
269:
198:
105:
1119:
1084:
1071:
962:
718:
433:
346:
217:
152:
94:
68:
1297:
1177:
1152:
1002:
863:
729:
657:
652:
501:
394:
367:
203:
145:
1007:
491:
418:
306:
281:
140:
135:
83:
750:
1361:
1205:
1162:
1089:
982:
836:
782:
772:
711:
628:
428:
423:
372:
311:
296:
276:
193:
161:
17:
1210:
1114:
967:
852:
777:
767:
682:
399:
377:
362:
357:
321:
255:
245:
213:
188:
157:
78:
63:
1269:
1062:
1022:
1012:
831:
821:
811:
662:
623:
611:
595:
575:
564:
538:
516:
438:
316:
260:
100:
35:
1274:
1259:
1195:
930:
841:
762:
301:
208:
120:
1345:
1307:
1230:
1190:
1157:
1137:
877:
757:
667:
555:
460:
328:
291:
264:
166:
1240:
1129:
1079:
972:
806:
795:
585:
485:
333:
286:
1220:
1185:
1142:
987:
694:
521:
496:
183:
46:
1249:
992:
618:
600:
550:
1047:
590:
178:
1215:
235:
173:
873:
1225:
735:
899:
903:
1283:
1239:
1176:
1128:
1070:
955:
915:
8:
922:
908:
900:
388:Higher-order singular value decomposition
1313:Comparison of linear algebra libraries
126:Eigenvalue, eigenvector and eigenspace
405:Haynsworth inertia additivity formula
7:
746:Component-free treatment of tensors
534:Dimension theorem for vector spaces
25:
1357:Outlines of mathematics and logic
1326:
1325:
1303:Basic Linear Algebra Subprograms
1061:
1201:Seven-dimensional cross product
791:Topics related to affine spaces
741:Classical treatment of tensors
1:
18:List of linear algebra topics
1043:Eigenvalues and eigenvectors
529:Cyclic decomposition theorem
383:Singular value decomposition
231:positive-semidefinite matrix
827:Cartesian coordinate system
700:Indefinite orthogonal group
111:Basis transformation matrix
1378:
890:Glossary of linear algebra
456:Householder transformation
42:System of linear equations
1321:
1059:
937:
895:Glossary of tensor theory
859:Projective transformation
636:Category of vector spaces
546:Examples of vector spaces
451:Elementary row operations
116:Characteristic polynomial
817:Affine coordinate system
648:Topological vector space
475:Woodbury matrix identity
251:Perron–Frobenius theorem
74:Gauss–Jordan elimination
869:Projective linear group
560:Galilean transformation
131:Cayley–Hamilton theorem
1028:Row and column vectors
707:Orientation (geometry)
690:Pseudo-Euclidean space
569:Lorentz transformation
353:Cholesky decomposition
1033:Row and column spaces
978:Scalar multiplication
802:Affine transformation
678:Orthogonal projection
673:Orthogonal complement
581:Row and column spaces
507:Scalar multiplication
342:Matrix decompositions
270:Diagonalizable matrix
199:Skew-symmetric matrix
106:Matrix multiplication
1168:Gram–Schmidt process
1120:Gaussian elimination
719:Symplectic structure
607:Rank–nullity theorem
470:Gram–Schmidt process
465:linear least squares
434:Matrix consimilarity
347:Matrix decomposition
218:Antihermitian matrix
69:Gaussian elimination
57:Cauchy–Binet formula
1298:Numerical stability
1178:Multilinear algebra
1153:Inner product space
1003:Linear independence
864:Projective geometry
730:Multilinear algebra
725:Multilinear algebra
658:Inner product space
653:Normed vector space
502:Linear independence
395:Schur decomposition
368:Polar decomposition
204:Conjugate transpose
146:Weyr canonical form
1008:Linear combination
492:Linear combination
419:Matrix equivalence
307:Vandermonde matrix
282:Tridiagonal matrix
141:Jordan normal form
136:Spread of a matrix
84:Strassen algorithm
1339:
1338:
1206:Geometric algebra
1163:Kronecker product
998:Linear projection
983:Vector projection
783:Geometric algebra
773:Symmetric algebra
712:Improper rotation
629:Linear functional
429:Matrix similarity
424:Matrix congruence
373:Reducing subspace
312:Stochastic matrix
297:Hessenberg matrix
277:Triangular matrix
227:Positive-definite
194:Orthogonal matrix
162:invertible matrix
16:(Redirected from
1369:
1329:
1328:
1211:Exterior algebra
1148:Hadamard product
1065:
1053:Linear equations
924:
917:
910:
901:
853:Projective space
848:Projective space
778:Clifford algebra
768:Exterior algebra
683:Orthogonal group
400:Schur complement
378:Spectral theorem
363:QR decomposition
358:LU decomposition
322:Circulant matrix
256:List of matrices
246:Spectral theorem
214:Hermitian matrix
189:Symmetric matrix
158:Matrix inversion
79:Overcompleteness
31:Linear equations
21:
1377:
1376:
1372:
1371:
1370:
1368:
1367:
1366:
1342:
1341:
1340:
1335:
1317:
1279:
1235:
1172:
1124:
1066:
1057:
1023:Change of basis
1013:Multilinear map
951:
933:
928:
886:
850:
832:Euclidean group
822:Flat (geometry)
812:Affine geometry
793:
751:Gamas's Theorem
727:
663:Euclidean space
644:
624:Linear function
612:Nullity theorem
596:Cyclic subspace
576:Linear subspace
565:Squeeze mapping
539:Hamel dimension
517:Change of basis
483:
447:
439:Row equivalence
415:
344:
317:Toeplitz matrix
261:Diagonal matrix
101:Matrix addition
92:
36:Linear equation
33:
23:
22:
15:
12:
11:
5:
1375:
1373:
1365:
1364:
1359:
1354:
1352:Linear algebra
1344:
1343:
1337:
1336:
1334:
1333:
1322:
1319:
1318:
1316:
1315:
1310:
1305:
1300:
1295:
1293:Floating-point
1289:
1287:
1281:
1280:
1278:
1277:
1275:Tensor product
1272:
1267:
1262:
1260:Function space
1257:
1252:
1246:
1244:
1237:
1236:
1234:
1233:
1228:
1223:
1218:
1213:
1208:
1203:
1198:
1196:Triple product
1193:
1188:
1182:
1180:
1174:
1173:
1171:
1170:
1165:
1160:
1155:
1150:
1145:
1140:
1134:
1132:
1126:
1125:
1123:
1122:
1117:
1112:
1110:Transformation
1107:
1102:
1100:Multiplication
1097:
1092:
1087:
1082:
1076:
1074:
1068:
1067:
1060:
1058:
1056:
1055:
1050:
1045:
1040:
1035:
1030:
1025:
1020:
1015:
1010:
1005:
1000:
995:
990:
985:
980:
975:
970:
965:
959:
957:
956:Basic concepts
953:
952:
950:
949:
944:
938:
935:
934:
931:Linear algebra
929:
927:
926:
919:
912:
904:
898:
897:
892:
885:
882:
881:
880:
871:
866:
861:
849:
846:
845:
844:
842:Galilean group
839:
837:Poincaré group
834:
829:
824:
819:
814:
809:
804:
792:
789:
788:
787:
786:
785:
780:
775:
770:
763:Tensor algebra
760:
755:
754:
753:
748:
743:
726:
723:
722:
721:
716:
715:
714:
704:
703:
702:
697:
687:
686:
685:
680:
675:
670:
665:
655:
650:
643:
640:
639:
638:
633:
632:
631:
626:
616:
615:
614:
609:
604:
598:
593:
588:
583:
573:
572:
571:
562:
548:
543:
542:
541:
531:
526:
525:
524:
519:
509:
504:
499:
494:
482:
479:
478:
477:
472:
467:
458:
453:
446:
443:
442:
441:
436:
431:
426:
421:
414:
411:
410:
409:
408:
407:
402:
392:
391:
390:
380:
375:
370:
365:
360:
355:
343:
340:
339:
338:
337:
336:
331:
326:
325:
324:
314:
309:
304:
302:Hessian matrix
299:
294:
289:
284:
279:
274:
273:
272:
253:
248:
243:
238:
233:
224:
223:
222:
221:
220:
211:
209:Unitary matrix
201:
196:
191:
186:
176:
171:
170:
169:
155:
150:
149:
148:
143:
138:
133:
123:
118:
113:
108:
103:
91:
88:
87:
86:
81:
76:
71:
66:
61:
60:
59:
54:
44:
32:
29:
24:
14:
13:
10:
9:
6:
4:
3:
2:
1374:
1363:
1360:
1358:
1355:
1353:
1350:
1349:
1347:
1332:
1324:
1323:
1320:
1314:
1311:
1309:
1308:Sparse matrix
1306:
1304:
1301:
1299:
1296:
1294:
1291:
1290:
1288:
1286:
1282:
1276:
1273:
1271:
1268:
1266:
1263:
1261:
1258:
1256:
1253:
1251:
1248:
1247:
1245:
1243:constructions
1242:
1238:
1232:
1231:Outermorphism
1229:
1227:
1224:
1222:
1219:
1217:
1214:
1212:
1209:
1207:
1204:
1202:
1199:
1197:
1194:
1192:
1191:Cross product
1189:
1187:
1184:
1183:
1181:
1179:
1175:
1169:
1166:
1164:
1161:
1159:
1158:Outer product
1156:
1154:
1151:
1149:
1146:
1144:
1141:
1139:
1138:Orthogonality
1136:
1135:
1133:
1131:
1127:
1121:
1118:
1116:
1115:Cramer's rule
1113:
1111:
1108:
1106:
1103:
1101:
1098:
1096:
1093:
1091:
1088:
1086:
1085:Decomposition
1083:
1081:
1078:
1077:
1075:
1073:
1069:
1064:
1054:
1051:
1049:
1046:
1044:
1041:
1039:
1036:
1034:
1031:
1029:
1026:
1024:
1021:
1019:
1016:
1014:
1011:
1009:
1006:
1004:
1001:
999:
996:
994:
991:
989:
986:
984:
981:
979:
976:
974:
971:
969:
966:
964:
961:
960:
958:
954:
948:
945:
943:
940:
939:
936:
932:
925:
920:
918:
913:
911:
906:
905:
902:
896:
893:
891:
888:
887:
883:
879:
878:conic section
875:
872:
870:
867:
865:
862:
860:
857:
856:
855:
854:
847:
843:
840:
838:
835:
833:
830:
828:
825:
823:
820:
818:
815:
813:
810:
808:
805:
803:
800:
799:
798:
797:
790:
784:
781:
779:
776:
774:
771:
769:
766:
765:
764:
761:
759:
758:Outer product
756:
752:
749:
747:
744:
742:
739:
738:
737:
734:
733:
732:
731:
724:
720:
717:
713:
710:
709:
708:
705:
701:
698:
696:
693:
692:
691:
688:
684:
681:
679:
676:
674:
671:
669:
668:Orthogonality
666:
664:
661:
660:
659:
656:
654:
651:
649:
646:
645:
641:
637:
634:
630:
627:
625:
622:
621:
620:
617:
613:
610:
608:
605:
602:
599:
597:
594:
592:
589:
587:
584:
582:
579:
578:
577:
574:
570:
566:
563:
561:
557:
556:Shear mapping
554:
553:
552:
549:
547:
544:
540:
537:
536:
535:
532:
530:
527:
523:
520:
518:
515:
514:
513:
510:
508:
505:
503:
500:
498:
495:
493:
490:
489:
488:
487:
481:Vector spaces
480:
476:
473:
471:
468:
466:
462:
461:Least squares
459:
457:
454:
452:
449:
448:
444:
440:
437:
435:
432:
430:
427:
425:
422:
420:
417:
416:
412:
406:
403:
401:
398:
397:
396:
393:
389:
386:
385:
384:
381:
379:
376:
374:
371:
369:
366:
364:
361:
359:
356:
354:
351:
350:
349:
348:
341:
335:
332:
330:
329:Hankel matrix
327:
323:
320:
319:
318:
315:
313:
310:
308:
305:
303:
300:
298:
295:
293:
292:Sparse matrix
290:
288:
285:
283:
280:
278:
275:
271:
268:
267:
266:
265:main diagonal
262:
259:
258:
257:
254:
252:
249:
247:
244:
242:
239:
237:
234:
232:
228:
225:
219:
215:
212:
210:
207:
206:
205:
202:
200:
197:
195:
192:
190:
187:
185:
182:
181:
180:
177:
175:
172:
168:
167:Pseudoinverse
165:
164:
163:
159:
156:
154:
151:
147:
144:
142:
139:
137:
134:
132:
129:
128:
127:
124:
122:
119:
117:
114:
112:
109:
107:
104:
102:
99:
98:
97:
96:
89:
85:
82:
80:
77:
75:
72:
70:
67:
65:
64:Cramer's rule
62:
58:
55:
53:
50:
49:
48:
45:
43:
40:
39:
38:
37:
30:
28:
19:
1241:Vector space
973:Vector space
941:
851:
807:Affine group
796:Affine space
794:
728:
586:Column space
486:Vector space
484:
445:Computations
345:
334:(0,1)-matrix
287:Block matrix
93:
34:
26:
1221:Multivector
1186:Determinant
1143:Dot product
988:Linear span
695:Null vector
522:Hamel basis
497:Linear span
184:Dot product
47:Determinant
1346:Categories
1255:Direct sum
1090:Invertible
993:Linear map
642:Structures
619:Dual space
601:Null space
551:Linear map
241:Projection
1285:Numerical
1048:Transpose
603:, nullity
591:Row space
413:Relations
179:Transpose
1362:Outlines
1331:Category
1270:Subspace
1265:Quotient
1216:Bivector
1130:Bilinear
1072:Matrices
947:Glossary
884:See also
236:Pfaffian
174:Adjugate
90:Matrices
942:Outline
874:Quadric
1226:Tensor
1038:Kernel
968:Vector
963:Scalar
736:Tensor
95:Matrix
1095:Minor
1080:Block
1018:Basis
512:Basis
121:Trace
52:Minor
1250:Dual
1105:Rank
876:and
153:Rank
567:or
558:or
1348::
463:,
263:,
229:,
216:,
160:,
923:e
916:t
909:v
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.