Knowledge

File:Basis graph (no label).svg

Source 📝

763:"}},"text\/plain":{"en":{"":"checksum"}}},"{\"value\":\"d5868a3dbb04a7a3487ca7a923bdb3032d4b91f4\",\"type\":\"string\"}":{"text\/html":{"en":{"P4092":"d5868a3dbb04a7a3487ca7a923bdb3032d4b91f4"}},"text\/plain":{"en":{"P4092":"d5868a3dbb04a7a3487ca7a923bdb3032d4b91f4"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":459,\"id\":\"P459\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 687:"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2009-11-19T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"19 November 2009"}},"text\/plain":{"en":{"P571":"19 November 2009"}}}}": --> 259: 38: 305: 759: 240: 311: 90: 626:"}},"text\/plain":{"en":{"P275":"GNU Free Documentation License, version 1.2 or later"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":14946043,\"id\":\"Q14946043\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":" 316: 219: 725:"}},"text\/plain":{"en":{"":"media type"}}},"{\"value\":\"image\\\/svg+xml\",\"type\":\"string\"}":{"text\/html":{"en":{"P1163":"image\/svg+xml"}},"text\/plain":{"en":{"P1163":"image\/svg+xml"}}}}": --> 767:"}},"text\/plain":{"en":{"":"determination method"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":13414952,\"id\":\"Q13414952\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P459":" 622:"}},"text\/plain":{"en":{"":"copyright license"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50829104,\"id\":\"Q50829104\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":" 578:"}},"text\/plain":{"en":{"":"copyright status"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50423863,\"id\":\"Q50423863\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P6216":" 830:"}},"text\/plain":{"en":{"":"data size"}}},"{\"value\":{\"amount\":\"+13903\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q8799\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P3575":"13,903 875:"}},"text\/plain":{"en":{"":"height"}}},"{\"value\":{\"amount\":\"+269\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2048":"269 920:"}},"text\/plain":{"en":{"":"width"}}},"{\"value\":{\"amount\":\"+466\",\"unit\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q355198\"},\"type\":\"quantity\"}":{"text\/html":{"en":{"P2049":"466 916: 1020:{{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|This picture illustrates how two vectors in R2 (or R x R) can be written in terms of the standard basis 528:
This picture illustrates how two vectors in R2 (or R x R) can be written in terms of the standard basis. B = {(1,0), (0,1)} Notice how span(B) = R2, and how (-2, 1) = (-2)(1,0) + (1)(0,1) This image was created using Inkscape. This file is in ''svg''
517:
This picture illustrates how two vectors in R2 (or R x R) can be written in terms of the standard basis. B = {(1,0), (0,1)} Notice how span(B) = R2, and how (-2, 2) = (-2)(1,0) + (2)(0,1). This image was created by me using Inkscape (svg).
380:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. 230: 1013: 768: 627: 623: 579: 917: 872: 827: 760: 722: 575: 764: 684: 619: 448: 64: 60: 56: 52: 48: 42: 630:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 3.0 Unported"}}}}": --> 1162: 446:; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled 269: 73: 101: 812: 670: 653: 605: 387: 931: 886: 841: 778: 732: 589: 438: 805: 694: 637: 564: 1052: 1132: 453: 329: 325: 443: 144:
This picture illustrates how two vectors in R2 (or R x R) can be written in terms of the standard basis.
386:– If you remix, transform, or build upon the material, you must distribute your contributions under the 834:"}},"text\/plain":{"en":{"P3575":"13,903 byte"}}}}": --> 582:"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}": --> 1030:
The following pages on the English Knowledge use this file (pages on other projects are not listed):
924:"}},"text\/plain":{"en":{"P2049":"466 pixel"}}}}": --> 879:"}},"text\/plain":{"en":{"P2048":"269 pixel"}}}}": --> 109: 1002: 997: 37: 1034: 771:"}},"text\/plain":{"en":{"P459":"SHA-1"}}}}": --> 436:
Permission is granted to copy, distribute and/or modify this document under the terms of the
401: 322: 187: 8: 430: 258: 198: 296:, the copyright holder of this work, hereby publishes it under the following license: 96: 554: 1127: 523: 512: 342: 289: 156: 246: 1082: 484: 1142: 183: 941: 896: 851: 788: 742: 704: 664: 647: 599: 1097: 502: 492: 250: 225: 425: 1107: 970:
Click on a date/time to view the file as it appeared at that time.
1152: 239: 1092: 1062: 149:
Notice how span(B) = R2, and how (-2, 1) = (-2)(1,0) + (1)(0,1)
1072: 400:
This licensing tag was added to this file as part of the GFDL
202: 1117: 218: 84: 78:(SVG file, nominally 466 × 269 pixels, file size: 14 KB) 548:
Add a one-line explanation of what this file represents
151:
This image was created using Inkscape. This file is in
1028: 346: 293: 1043: 968: 671:
Creative Commons Attribution-ShareAlike 3.0 Unported
654:
GNU Free Documentation License, version 1.2 or later
628:
Creative Commons Attribution-ShareAlike 3.0 Unported
624:
GNU Free Documentation License, version 1.2 or later
442:, Version 1.2 or any later version published by the 108:
Commons is a freely licensed media file repository.
487:. All following user names refer to en.wikipedia. 407:http://creativecommons.org/licenses/by-sa/3.0/ 89: 304: 164: 131: 413:Creative Commons Attribution-Share Alike 3.0 194: 172: 14: 921: 876: 831: 363:– to copy, distribute and transmit the work 41:Size of this PNG preview of this SVG file: 178: 1045:The following other wikis use this file: 794:d5868a3dbb04a7a3487ca7a923bdb3032d4b91f4 168:19 November 2009 (original upload date) 478: 507:Removed the frame and the description 120: 458:http://www.gnu.org/copyleft/fdl.html 326:Attribution-Share Alike 3.0 Unported 299: 961: 315: 310: 13: 553: 547: 483:The original description page was 482: 288: 263: 244: 223: 138: 121: 71: 1176: 552: 1029: 538: 429: 374:Under the following conditions: 321:This file is licensed under the 314: 309: 303: 257: 238: 217: 88: 31: 21: 1015:File Upload Bot (Magnus Manske) 535: 139: 1040: 965: 534: 464:GNU Free Documentation License 449:GNU Free Documentation License 439:GNU Free Documentation License 26: 1: 1025: 560:Items portrayed in this file 282: 159:05:03, 23 October 2006 (UTC) 7: 10: 1181: 1159:Usage on uk.wikipedia.org 1149:Usage on tr.wikipedia.org 1139:Usage on ru.wikipedia.org 1124:Usage on ja.wikipedia.org 1114:Usage on it.wikipedia.org 1104:Usage on id.wikipedia.org 1089:Usage on gl.wikipedia.org 1079:Usage on fr.wikipedia.org 1069:Usage on eu.wikipedia.org 1059:Usage on es.wikipedia.org 1049:Usage on ar.wikipedia.org 497:Fixed a few small problems 388:same or compatible license 347:English-language Knowledge 294:English-language Knowledge 134:Basis graph (no label).svg 128: 123: 962: 334: 302: 16: 537: 444:Free Software Foundation 95:This is a file from the 36: 1083:Base (algèbre linéaire) 1019: 526:471×403× (17646 bytes) 515:471×403× (18601 bytes) 505:471×403× (14185 bytes) 495:466×269× (13903 bytes) 167: 99:. Information from its 1108:Basis (aljabar linear) 1035:Basis (linear algebra) 998:13:10, 28 January 2010 268:text that can be 102:description page there 1098:Base (álxebra linear) 1153:Taban (lineer cebir) 806:determination method 765:determination method 328:license. Subject to 272:using a text editor. 209:SVG development 65:2,560 × 1,478 pixels 479:Original upload log 369:– to adapt the work 146:B = {(1,0), (0,1)} 47:Other resolutions: 1163:Базис (математика) 61:1,280 × 739 pixels 57:1,024 × 591 pixels 1073:Oinarri (aljebra) 1041:Global file usage 1023: 923: 878: 833: 638:copyright license 620:copyright license 546: 522:2006-10-23 05:03 511:2006-10-23 05:06 501:2009-11-19 17:14 491:2009-11-19 17:49 475: 474: 424: 423: 279: 278: 270:easily translated 249:was created with 203:English Knowledge 176:Transferred from 117: 116: 97:Wikimedia Commons 32:Global file usage 1172: 1010: 972: 950: 905: 860: 815: 810: 710:19 November 2009 590:copyright status 576:copyright status 544: 471: 468: 465: 462: 459: 433: 426: 420: 417: 414: 411: 408: 405: 402:licensing update 390:as the original. 349: 323:Creative Commons 318: 317: 313: 312: 307: 306: 300: 267: 264:This file uses 261: 242: 233: 221: 181: 143: 135: 129: 113: 92: 91: 85: 79: 68: 53:640 × 369 pixels 49:320 × 185 pixels 43:466 × 269 pixels 1180: 1179: 1175: 1174: 1173: 1171: 1170: 1169: 1118:Algebra lineare 1053:قاعدة (جبر خطي) 1039: 1031: 1024: 1016: 1008: 964: 963: 960: 959: 958: 957: 956: 955: 954: 953: 951: 948: 938: 937: 936: 934: 915: 914: 913: 912: 911: 910: 909: 908: 906: 903: 893: 892: 891: 889: 870: 869: 868: 867: 866: 865: 864: 863: 861: 858: 848: 847: 846: 844: 825: 824: 823: 822: 821: 820: 819: 818: 817: 816: 811: 808: 799: 798: 797: 795: 785: 784: 783: 781: 758: 757: 756: 755: 754: 753: 752: 751: 749: 739: 738: 737: 735: 720: 719: 718: 717: 716: 715: 714: 713: 711: 701: 700: 699: 697: 682: 681: 680: 679: 678: 677: 676: 675: 673: 662: 661: 660: 659: 658: 656: 644: 643: 642: 640: 617: 616: 615: 614: 613: 612: 611: 610: 608: 596: 595: 594: 592: 573: 572: 571: 570: 569: 567: 551: 550: 549: 488: 481: 476: 469: 466: 463: 460: 457: 418: 415: 412: 409: 406: 399: 341: 298: 297: 285: 280: 275: 274: 273: 265: 255: 254: 236: 235: 229: 212: 177: 160: 133: 126: 119: 118: 107: 106: 105:is shown below. 81: 77: 70: 69: 46: 12: 11: 5: 1178: 1168: 1167: 1166: 1165: 1157: 1156: 1155: 1147: 1146: 1145: 1137: 1136: 1135: 1130: 1122: 1121: 1120: 1112: 1111: 1110: 1102: 1101: 1100: 1095: 1093:Álxebra lineal 1087: 1086: 1085: 1077: 1076: 1075: 1067: 1066: 1065: 1063:Base (álgebra) 1057: 1056: 1055: 1042: 1038: 1037: 1027: 1022: 1021: 1018: 1014: 1011: 1005: 1000: 995: 991: 990: 987: 984: 981: 978: 975: 967: 952: 946: 944: 943: 942: 940: 939: 935: 930: 928: 927: 926: 925: 919: 907: 901: 899: 898: 897: 895: 894: 890: 885: 883: 882: 881: 880: 874: 862: 856: 854: 853: 852: 850: 849: 845: 840: 838: 837: 836: 835: 829: 804: 803: 802: 801: 800: 796: 793: 791: 790: 789: 787: 786: 782: 777: 775: 774: 773: 772: 770: 766: 762: 750: 747: 745: 744: 743: 741: 740: 736: 731: 729: 728: 727: 726: 724: 712: 709: 707: 706: 705: 703: 702: 698: 693: 691: 690: 689: 688: 686: 674: 669: 667: 666: 665: 663: 657: 652: 650: 649: 648: 646: 645: 641: 636: 634: 633: 632: 631: 629: 625: 621: 609: 604: 602: 601: 600: 598: 597: 593: 588: 586: 585: 584: 583: 581: 577: 568: 563: 561: 558: 557: 556: 555: 543: 542: 539: 536: 532: 531: 520: 509: 499: 480: 477: 473: 472: 434: 422: 421: 396: 395: 394: 393: 392: 391: 381: 372: 371: 370: 364: 357:You are free: 352: 351: 336: 335: 333: 319: 287: 286: 284: 281: 277: 276: 256: 237: 216: 215: 213: 210: 206: 205: 196: 192: 191: 182:to Commons by 174: 170: 169: 166: 162: 161: 136: 127: 125: 122: 115: 114: 93: 83: 82: 40: 35: 34: 29: 24: 19: 9: 6: 4: 3: 2: 1177: 1164: 1161: 1160: 1158: 1154: 1151: 1150: 1148: 1144: 1141: 1140: 1138: 1134: 1131: 1129: 1126: 1125: 1123: 1119: 1116: 1115: 1113: 1109: 1106: 1105: 1103: 1099: 1096: 1094: 1091: 1090: 1088: 1084: 1081: 1080: 1078: 1074: 1071: 1070: 1068: 1064: 1061: 1060: 1058: 1054: 1051: 1050: 1048: 1047: 1046: 1036: 1033: 1032: 1017: 1012: 1006: 1004: 1001: 999: 996: 993: 992: 988: 985: 982: 979: 976: 974: 973: 971: 945: 933: 929: 900: 888: 884: 855: 843: 839: 814: 807: 792: 780: 776: 748:image/svg+xml 746: 734: 730: 708: 696: 692: 672: 668: 655: 651: 639: 635: 607: 603: 591: 587: 566: 562: 559: 540: 533: 530: 525: 521: 519: 514: 510: 508: 504: 500: 498: 494: 490: 489: 486: 455: 452:. Subject to 451: 450: 445: 441: 440: 435: 432: 428: 427: 403: 398: 397: 389: 385: 382: 379: 376: 375: 373: 368: 365: 362: 359: 358: 356: 355: 354: 353: 350: 348: 344: 340:Attribution: 338: 337: 331: 327: 324: 320: 308: 301: 295: 291: 271: 260: 252: 248: 241: 232: 227: 220: 214: 208: 207: 204: 200: 197: 193: 189: 188:CommonsHelper 185: 180: 175: 171: 163: 158: 154: 150: 147: 142: 137: 130: 111: 104: 103: 98: 94: 87: 86: 80: 75: 74:Original file 66: 62: 58: 54: 50: 44: 39: 33: 30: 28: 25: 23: 20: 18: 15: 1044: 969: 966:File history 527: 516: 506: 496: 447: 437: 410:CC BY-SA 3.0 383: 377: 366: 360: 339: 247:vector image 179:en.wikipedia 152: 148: 145: 140: 110:You can help 100: 72: 22:File history 606:copyrighted 580:copyrighted 454:disclaimers 384:share alike 378:attribution 330:disclaimers 132:Description 1133:基底 (線型代数学) 1026:File usage 1007:466 × 269 983:Dimensions 733:media type 723:media type 27:File usage 980:Thumbnail 977:Date/Time 842:data size 828:data size 695:inception 685:inception 283:Licensing 211:InfoField 141:English: 779:checksum 761:checksum 541:Captions 524:Spindled 513:Spindled 367:to remix 361:to share 343:Spindled 290:Spindled 266:embedded 251:Inkscape 228:code is 199:Spindled 157:Spindled 1009:(14 KB) 994:current 989:Comment 857:13,903 565:depicts 545:English 345:at the 292:at the 155:format 124:Summary 76:‎ 887:height 873:height 262:  245:This 243:  222:  195:Author 186:using 184:Ylebru 173:Source 1143:Базис 949:pixel 932:width 922:pixel 918:width 904:pixel 877:pixel 813:SHA-1 769:SHA-1 231:valid 1128:線型独立 986:User 947:466 902:269 859:byte 832:byte 518:~~~~ 485:here 470:true 467:true 461:GFDL 419:true 416:true 224:The 165:Date 17:File 503:Cic 493:Cic 226:SVG 201:at 153:svg 809:: 332:. 63:| 59:| 55:| 51:| 45:. 529:f 456:. 404:. 253:. 234:. 190:. 112:. 67:.

Index

File
File history
File usage
Global file usage
File:Basis graph (no label).svg
466 × 269 pixels
320 × 185 pixels
640 × 369 pixels
1,024 × 591 pixels
1,280 × 739 pixels
2,560 × 1,478 pixels
Original file
Wikimedia Commons
description page there
You can help
Spindled
en.wikipedia
Ylebru
CommonsHelper
Spindled
English Knowledge

SVG
valid

vector image
Inkscape

easily translated
Spindled

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.