{"id":392,"date":"2018-07-12T09:35:18","date_gmt":"2018-07-12T09:35:18","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=392"},"modified":"2019-05-15T09:08:48","modified_gmt":"2019-05-15T09:08:48","slug":"eigenvalues-and-eigenvectors-of-real-matrices-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/eigenvalues-and-eigenvectors-of-real-matrices-1\/","title":{"rendered":"Eigenvalues and Eigenvectors of real matrices-1"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/NK07vcJhHdM\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<p style=\"text-align: center;\"><strong>Eigenvalues and Eigenvectors of real matrices-1<\/strong><\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-401 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_1-e1533213299736.jpg\" alt=\"\" width=\"1300\" height=\"1682\" \/> <img class=\"aligncenter wp-image-400 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_2-e1533213317226.jpg\" alt=\"\" width=\"1321\" height=\"1900\" \/> <img class=\"aligncenter wp-image-399 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_3-e1533213339431.jpg\" alt=\"\" width=\"797\" height=\"907\" \/> <img class=\"aligncenter wp-image-398 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_4-e1533213367900.jpg\" alt=\"\" width=\"1397\" height=\"1935\" \/> <img class=\"aligncenter wp-image-397 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_5-e1533213386459.jpg\" alt=\"\" width=\"1302\" height=\"1625\" \/> <img class=\"aligncenter wp-image-396 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_6-e1533213416302.jpg\" alt=\"\" width=\"1321\" height=\"1941\" \/> <img class=\"aligncenter wp-image-395 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_7-e1533213446383.jpg\" alt=\"\" width=\"1321\" height=\"1912\" \/> <img class=\"aligncenter wp-image-394 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486.jpg\" alt=\"\" width=\"1315\" height=\"1935\" \/> <img class=\"aligncenter wp-image-393 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107.jpg\" alt=\"\" width=\"1281\" height=\"1207\" \/>\r\n\r\n<strong style=\"text-align: initial; font-size: 1em;\">Additional Reading material<\/strong>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify;\"><span style=\"text-align: justify; font-size: 1em;\">The following are some of the references on Eigenvalues and Eigenvectors. For various results on Eigenvalues and Eigenvectors one may refer to [2], [3], [13] and for various methods and for computational aspets one may refer to [3], [12].<\/span><\/p>\r\n\r\n<div style=\"text-align: center;\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Eigenvalues and Eigenvectors of real matrices-1<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/NK07vcJhHdM\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n<strong>References:<\/strong>\r\n\r\n&nbsp;\r\n\r\n1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory&amp; Applications, Cengage Learning, 2005.\r\n\r\n5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7.\u00a0 \u00a0Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n9.\u00a0\u00a0 Polynomial interpolation,From Wikipedia, the free encyclopaedia\r\n\r\n10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.\r\n\r\n11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.\r\n\r\n<span style=\"font-size: 1em;\">12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span>\r\n\r\n<span style=\"text-align: initial; font-size: 1em;\">13.\u00a0 \u00a0Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011.<\/span>\r\n\r\n<\/div>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/NK07vcJhHdM\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p style=\"text-align: center;\"><strong>Eigenvalues and Eigenvectors of real matrices-1<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486-768x1130.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486-696x1024.jpg 696w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486-65x96.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486-225x331.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_8-e1533213476486-350x515.jpg 350w\" sizes=\"auto, (max-width: 1315px) 100vw, 1315px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-393 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107.jpg\" alt=\"\" width=\"1281\" height=\"1207\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107.jpg 1281w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-300x283.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-768x724.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-1024x965.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-65x61.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-225x212.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505730188module-31-eigenvalues-eigenvectors-1_Page_9-e1533213501107-350x330.jpg 350w\" sizes=\"auto, (max-width: 1281px) 100vw, 1281px\" \/><\/p>\n<p><strong style=\"text-align: initial; font-size: 1em;\">Additional Reading material<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"text-align: justify; font-size: 1em;\">The following are some of the references on Eigenvalues and Eigenvectors. For various results on Eigenvalues and Eigenvectors one may refer to [2], [3], [13] and for various methods and for computational aspets one may refer to [3], [12].<\/span><\/p>\n<div style=\"text-align: center;\">\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Eigenvalues and Eigenvectors of real matrices-1<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/NK07vcJhHdM\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n<p>2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n<p>3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n<p>4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory&amp; Applications, Cengage Learning, 2005.<\/p>\n<p>5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n<p>6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n<p>7.\u00a0 \u00a0Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n<p>8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n<p>9.\u00a0\u00a0 Polynomial interpolation,From Wikipedia, the free encyclopaedia<\/p>\n<p>10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n<p>11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n<p><span style=\"font-size: 1em;\">12.\u00a0 \u00a0Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical\u00a0 Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n<p><span style=\"text-align: initial; font-size: 1em;\">13.\u00a0 \u00a0Erwin Kreyszig: Advanced Engineering Mathematics, Jhon Wiley &amp; Sons Inc., 2011.<\/span><\/p>\n<\/div>\n","protected":false},"author":4,"menu_order":32,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-v-d-pathak"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-392","chapter","type-chapter","status-publish","hentry","contributor-dr-v-d-pathak"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/392","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":6,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/392\/revisions"}],"predecessor-version":[{"id":616,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/392\/revisions\/616"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/392\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=392"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=392"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=392"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}