{"id":124,"date":"2022-04-13T10:04:21","date_gmt":"2022-04-13T10:04:21","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=124"},"modified":"2024-12-23T11:21:55","modified_gmt":"2024-12-23T11:21:55","slug":"f-3-add-and-subtract-matrices","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/f-3-add-and-subtract-matrices\/","title":{"rendered":"F.3 Add and subtract matrices"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add and subtract matrices<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-foreground-color has-text-color\">What you should be familiar with before taking this lesson<\/h3>\n\n\n\n<p class=\"has-large-font-size\">A&nbsp;<strong>matrix<\/strong>&nbsp;is a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a&nbsp;<strong>matrix element<\/strong>&nbsp;or&nbsp;<strong>entry<\/strong>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"400\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-59.png\" alt=\"\" class=\"wp-image-3033\" style=\"width:238px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-59.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-59-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-large-font-size\">The&nbsp;<strong>dimensions<\/strong>&nbsp;of a matrix give the number of rows and columns of the matrix&nbsp;<em>in that order<\/em>. Since matrix&nbsp;A<em>A<\/em>A&nbsp;has&nbsp;222&nbsp;rows and&nbsp;333&nbsp;columns, it is called a&nbsp;2\\times 32\u00d732, times, 3&nbsp;matrix.<\/p>\n\n\n\n<p class=\"has-large-font-size\">If this is new to you, we recommend that you check out our&nbsp;intro to matrices.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\">What you will learn in this lesson<\/h4>\n\n\n\n<p class=\"has-large-font-size\">As long as the dimensions of two matrices are the same, we can add and subtract them much like we add and subtract numbers. Let&#8217;s take a closer look!<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#0b4600\">Adding matrices<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-60.png\" alt=\"\" class=\"wp-image-3036\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-60.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-60-300x60.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">We can find the sum simply by adding the corresponding entries in matrices <strong>A&nbsp;<\/strong>and <strong>B<\/strong>. This is shown below.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-61.png\" alt=\"\" class=\"wp-image-3037\" style=\"aspect-ratio:1.4021739130434783;width:426px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-61.png 700w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-61-300x214.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-text-color has-background has-link-color has-large-font-size wp-elements-92355ce9d4886dbc47d2fab3cc577668\" style=\"color:#7a1e1e;background-color:#f29191\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"686\" height=\"280\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/20.png\" alt=\"\" class=\"wp-image-7729\" style=\"width:529px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/20.png 686w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/20-300x122.png 300w\" sizes=\"auto, (max-width: 686px) 100vw, 686px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"661\" height=\"277\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/21-removebg-preview.png\" alt=\"\" class=\"wp-image-7730\" style=\"width:592px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/21-removebg-preview.png 661w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/21-removebg-preview-300x126.png 300w\" sizes=\"auto, (max-width: 661px) 100vw, 661px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e7eca0\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"693\" height=\"281\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/22.png\" alt=\"\" class=\"wp-image-7731\" style=\"width:528px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/22.png 693w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/22-300x122.png 300w\" sizes=\"auto, (max-width: 693px) 100vw, 693px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"665\" height=\"252\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/23-removebg-preview.png\" alt=\"\" class=\"wp-image-7732\" style=\"width:570px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/23-removebg-preview.png 665w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/23-removebg-preview-300x114.png 300w\" sizes=\"auto, (max-width: 665px) 100vw, 665px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c6a5ee\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"683\" height=\"284\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/24.png\" alt=\"\" class=\"wp-image-7733\" style=\"width:524px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/24.png 683w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/24-300x125.png 300w\" sizes=\"auto, (max-width: 683px) 100vw, 683px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"666\" height=\"274\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/25-removebg-preview-2.png\" alt=\"\" class=\"wp-image-7734\" style=\"width:571px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/25-removebg-preview-2.png 666w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/25-removebg-preview-2-300x123.png 300w\" sizes=\"auto, (max-width: 666px) 100vw, 666px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/84198\/009\/938\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-29.png\" alt=\"\" class=\"wp-image-6711\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-29.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-29-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-29-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/41515\/383\/735\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-42.png\" alt=\"\" class=\"wp-image-6712\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-42.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-42-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-42-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract matrices key notes: What you should be familiar with before taking this lesson A&nbsp;matrix&nbsp;is a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a&nbsp;matrix element&nbsp;or&nbsp;entry. The&nbsp;dimensions&nbsp;of a matrix give the number of rows and columns of the matrix&nbsp;in that order. Since matrix&nbsp;AAA&nbsp;has&nbsp;222&nbsp;rows and&nbsp;333&nbsp;columns,<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/f-3-add-and-subtract-matrices\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.3 Add and subtract matrices&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-124","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/124","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=124"}],"version-history":[{"count":17,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/124\/revisions"}],"predecessor-version":[{"id":15500,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/124\/revisions\/15500"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=124"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}