{"id":436137,"date":"2018-05-22T00:20:58","date_gmt":"2018-05-22T00:20:58","guid":{"rendered":"https:\/\/essaypaper.org\/eigenvalues-and-eigenvectors-of-3x3-matrix-example\/"},"modified":"2018-10-24T08:58:47","modified_gmt":"2018-10-24T08:58:47","slug":"eigenvalues-and-eigenvectors-of-3x3-matrix-example","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/eigenvalues-and-eigenvectors-of-3x3-matrix-example\/","title":{"rendered":"Eigenvalues and Eigenvectors of 3&#215;3 Matrix Example"},"content":{"rendered":"<div>\n<p><b>Task:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Find the eigenvectors and eigenvalues of the following matrix:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-8318\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen1.png\" alt=\"\" width=\"225\" height=\"165\"\/><\/p>\n<p><b>Solution:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">To find eigenvectors we must solve the equation below for each eigenvalue:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-8316\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen2.png\" alt=\"\" width=\"223\" height=\"82\"\/><\/p>\n<p><span style=\"font-weight: 400;\">The eigenvalues are the roots of the characteristic equation:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-8300\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen10-300x146.png\" alt=\"\" width=\"300\" height=\"146\"  \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8322 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen3-1.png\" alt=\"\" width=\"963\" height=\"321\"  \/><\/p>\n<p><span style=\"font-weight: 400;\">The solutions of the equation above are eigenvalues and they are equal to:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8312 \" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen4.png\" alt=\"\" width=\"246\" height=\"65\"  \/><\/p>\n<p><span style=\"font-weight: 400;\">Eigenvectors for:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8310 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen5.png\" alt=\"\" width=\"910\" height=\"335\"  \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Now we must solve the following equation:<\/span><\/p>\n<p><b><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8308 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen6.png\" alt=\"\" width=\"344\" height=\"212\"  \/><br \/>First let\u2019s reduce the matrix:<\/b><\/p>\n<p><b> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8294 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen14.png\" alt=\"\" width=\"328\" height=\"248\"  \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8324 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen7-1.png\" alt=\"\" width=\"316\" height=\"794\"  \/>\u00a0\u00a0\u00a0\u00a0<\/b><\/p>\n<p><b>This reduces to the equation:<\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8304 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen8.png\" alt=\"\" width=\"265\" height=\"159\"\/><\/p>\n<p><span style=\"font-weight: 400;\">Eigenvectors for:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8302 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen9.png\" alt=\"\" width=\"785\" height=\"227\"  \/><\/p>\n<p><span style=\"font-weight: 400;\">Now we must solve the following equation:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8300 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen10.png\" alt=\"\" width=\"318\" height=\"155\"  \/><\/p>\n<p><span style=\"font-weight: 400;\">First let\u2019s reduce the matrix:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8298 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen11.png\" alt=\"\" width=\"283\" height=\"562\"  \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8328 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen13.png\" alt=\"\" width=\"265\" height=\"821\"  \/><\/p>\n<p>\u00a0<\/p>\n<p><span style=\"font-weight: 400;\">This reduces to the equation:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-8294 size-full\" src=\"https:\/\/assignment.essayshark.com\/blog\/wp-content\/uploads\/2018\/03\/eigen14.png\" alt=\"\" width=\"328\" height=\"248\"  \/><\/p>\n<blockquote>\n<p><i><span style=\"font-weight: 400;\">There are two kinds of students: those who love math and those who hate it. If you love it, our example of the solution to <\/span><\/i><i>eigenvalues and eigenvectors of 3\u00d73 matrix<\/i><i><span style=\"font-weight: 400;\"> will help you get a better understanding of it. This example was made by one of our experts; you can easily contact them if you are puzzled with complex tasks in math.<\/span><\/i><\/p>\n<\/blockquote>\n<blockquote>\n<p><i><span style=\"font-weight: 400;\">If you have trouble understanding your <\/span><\/i><i>eigenvalues and eigenvectors of 3\u00d73 matrix<\/i><i><span style=\"font-weight: 400;\"> assignment, there is no need to panic! Get professional help with your math assignment at any time that is convenient for you. We have gathered a team of experts in math who can easily solve even the most difficult math assignments. Improve your math skills with us!<\/span><\/i><\/p>\n<\/blockquote>\n<blockquote>\n<p><i><span style=\"font-weight: 400;\">Assignment.Essayshark works day and night to provide expert help with assignments for students from all over the world. When you need prompt help, ask our professionals, as they are able to complete your assignment before the deadline. Also, to make our service affordable, we have provided reasonable prices so every student can afford our services. There is no time to wait for assistance! Get your homework done with our experts! <\/span><\/i><\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Task: Find the eigenvectors and eigenvalues of the following matrix: Solution: To find eigenvectors we must solve the equation below for each eigenvalue: The eigenvalues are the roots of the characteristic equation: The solutions of the equation above are eigenvalues <a href=\"https:\/\/www.benedictsol.com\/blogs\/eigenvalues-and-eigenvectors-of-3x3-matrix-example\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,25],"tags":[],"class_list":["post-436137","post","type-post","status-publish","format-standard","hentry","category-essay-paper-writing","category-samples"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/436137","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=436137"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/436137\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=436137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=436137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=436137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}