{"id":954,"date":"2020-05-31T09:02:05","date_gmt":"2020-05-31T09:02:05","guid":{"rendered":"https:\/\/people.utm.my\/halinawati4\/?p=954"},"modified":"2020-05-31T09:12:17","modified_gmt":"2020-05-31T09:12:17","slug":"linear-transformation-the-null-space-kernel-and-range","status":"publish","type":"post","link":"https:\/\/people.utm.my\/halinawati4\/linear-transformation-the-null-space-kernel-and-range\/","title":{"rendered":"LINEAR TRANSFORMATION &#8211; The Null Space (kernel) and Range"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"954\" class=\"elementor elementor-954\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1632178 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1632178\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6aa9e0c\" data-id=\"6aa9e0c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6a4d962 elementor-widget elementor-widget-video\" data-id=\"6a4d962\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/r13KE8iTjyc&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-06a3048 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"06a3048\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-aa4b892\" data-id=\"aa4b892\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b843162 elementor-widget elementor-widget-video\" data-id=\"b843162\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/r7ZsD95gcEE&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f261c1c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f261c1c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a44ba1d\" data-id=\"a44ba1d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a29733e elementor-widget elementor-widget-text-editor\" data-id=\"a29733e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The example of kernel and range in linear transformation.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a15f50d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a15f50d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2b98ae8\" data-id=\"2b98ae8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2261df5 elementor-widget elementor-widget-video\" data-id=\"2261df5\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/wS_nqM6874A&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4444769 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4444769\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bdad41b\" data-id=\"bdad41b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8f1bc6e elementor-widget elementor-widget-video\" data-id=\"8f1bc6e\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/3x0LMBlZqxE&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-30a2780 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"30a2780\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1fe1cb4\" data-id=\"1fe1cb4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-939a297 elementor-widget elementor-widget-text-editor\" data-id=\"939a297\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><h2>DON&#8217;T FORGET TO LEAVE A COMMENT!!!.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>https:\/\/youtu.be\/r13KE8iTjychttps:\/\/youtu.be\/r7ZsD95gcEE The example of kernel and range in linear transformation. https:\/\/youtu.be\/wS_nqM6874Ahttps:\/\/youtu.be\/3x0LMBlZqxE DON&#8217;T FORGET TO LEAVE A COMMENT!!!.<\/p>\n","protected":false},"author":16047,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-954","post","type-post","status-publish","format-standard","hentry","category-computational-mathematic"],"_links":{"self":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/users\/16047"}],"replies":[{"embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/comments?post=954"}],"version-history":[{"count":4,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/954\/revisions"}],"predecessor-version":[{"id":958,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/posts\/954\/revisions\/958"}],"wp:attachment":[{"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/media?parent=954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/categories?post=954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/people.utm.my\/halinawati4\/wp-json\/wp\/v2\/tags?post=954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}