{"id":1089,"date":"2025-11-01T20:48:29","date_gmt":"2025-11-01T20:48:29","guid":{"rendered":"https:\/\/ykim.synology.me\/wordpress\/?p=1089"},"modified":"2025-11-01T20:49:46","modified_gmt":"2025-11-01T20:49:46","slug":"cramers-rule","status":"publish","type":"post","link":"https:\/\/ykim.synology.me\/wordpress\/cramers-rule-1089\/","title":{"rendered":"Cramer&#8217;s Rule"},"content":{"rendered":"\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Cramer&#8217;s Rule Chart<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"329\" src=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-11.png\" alt=\"\" class=\"wp-image-1096\" srcset=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-11.png 532w, https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-11-300x186.png 300w\" sizes=\"auto, (max-width: 532px) 100vw, 532px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Cramer\u2019s Rule for a 2\u00d72 System (with Two Variables)<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-8f761849 wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"324\" height=\"265\" src=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-13.png\" alt=\"\" class=\"wp-image-1098\" srcset=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-13.png 324w, https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-13-300x245.png 300w\" sizes=\"auto, (max-width: 324px) 100vw, 324px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"270\" src=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-14.png\" alt=\"\" class=\"wp-image-1099\" srcset=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-14.png 313w, https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-14-300x259.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/figure>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Cramer\u2019s Rule for a 3\u00d73 System (with Three Variables)<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-8f761849 wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"540\" height=\"403\" src=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-16.png\" alt=\"\" class=\"wp-image-1101\" style=\"width:385px;height:auto\" srcset=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-16.png 540w, https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-16-300x224.png 300w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"388\" height=\"235\" src=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-12.png\" alt=\"\" class=\"wp-image-1097\" srcset=\"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-12.png 388w, https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-12-300x182.png 300w\" sizes=\"auto, (max-width: 388px) 100vw, 388px\" \/><\/figure>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<div style='text-align:center' class='yasr-auto-insert-overall'><\/div><div style='text-align:center' class='yasr-auto-insert-visitor'><\/div>","protected":false},"excerpt":{"rendered":"<p>Cramer&#8217;s Rule Chart Cramer\u2019s Rule for a 2\u00d72 System (with Two Variables) Cramer\u2019s Rule for a 3\u00d73 System (with Three Variables)<\/p>\n","protected":false},"author":4,"featured_media":1096,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"_kadence_starter_templates_imported_post":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","yasr_overall_rating":0,"yasr_post_is_review":"","yasr_auto_insert_disabled":"","yasr_review_type":"","fifu_image_url":"","fifu_image_alt":"","iawp_total_views":0,"footnotes":""},"categories":[69],"tags":[77],"class_list":["post-1089","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education-slug","tag-math"],"yasr_visitor_votes":{"stars_attributes":{"read_only":false,"span_bottom":false},"number_of_votes":0,"sum_votes":0},"jetpack_featured_media_url":"https:\/\/ykim.synology.me\/wordpress\/wp-content\/uploads\/2025\/11\/image-11.png","_links":{"self":[{"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/posts\/1089","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/comments?post=1089"}],"version-history":[{"count":1,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/posts\/1089\/revisions"}],"predecessor-version":[{"id":1102,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/posts\/1089\/revisions\/1102"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/media\/1096"}],"wp:attachment":[{"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/media?parent=1089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/categories?post=1089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ykim.synology.me\/wordpress\/wp-json\/wp\/v2\/tags?post=1089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}