{"id":126,"date":"2022-04-13T10:04:40","date_gmt":"2022-04-13T10:04:40","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=126"},"modified":"2024-12-23T11:25:23","modified_gmt":"2024-12-23T11:25:23","slug":"f-4-multiply-a-matrix-by-a-scalar","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/f-4-multiply-a-matrix-by-a-scalar\/","title":{"rendered":"F.4 Multiply a matrix by a scalar"},"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>Multiply a matrix by a scalar<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4dde4300b7763c9a2a860fe18546dfe2\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">To&nbsp;multiply a matrix by a scalar, multiply each element of the matrix by the&nbsp;scalar.<\/p>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"300\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-62.png\" alt=\"\" class=\"wp-image-3041\" style=\"aspect-ratio:2.34375;width:328px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-62.png 700w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-62-300x129.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-foreground-color has-text-color\">What you will learn in this lesson<\/h3>\n\n\n\n<p class=\"has-large-font-size\">We can multiply matrices by real numbers. This article explores how this works.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-foreground-color has-text-color\">Scalars and scalar multiplication<\/h3>\n\n\n\n<p class=\"has-large-font-size\">When we work with matrices, we refer to real numbers as&nbsp;<strong>scalars<\/strong>.<\/p>\n\n\n\n<p class=\"has-large-font-size\">The term&nbsp;<strong>scalar multiplication<\/strong>&nbsp;refers to the product of a real number and a matrix. In scalar multiplication, each entry in the matrix is multiplied by the given scalar.<\/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=\"700\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-63.png\" alt=\"\" class=\"wp-image-3043\" style=\"width:361px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-63.png 700w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-63-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled-design-63-150x150.png 150w\" 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:#4c1010\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f1aeae\"><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\"><img loading=\"lazy\" decoding=\"async\" width=\"689\" height=\"278\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/26.png\" alt=\"\" class=\"wp-image-7737\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/26.png 689w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/26-300x121.png 300w\" sizes=\"auto, (max-width: 689px) 100vw, 689px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"410\" height=\"224\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/27-removebg-preview.png\" alt=\"\" class=\"wp-image-7738\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/27-removebg-preview.png 410w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/27-removebg-preview-300x164.png 300w\" sizes=\"auto, (max-width: 410px) 100vw, 410px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#9cf8ec\"><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\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"271\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/28.png\" alt=\"\" class=\"wp-image-7739\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/28.png 680w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/28-300x120.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"410\" height=\"227\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/29-removebg-preview.png\" alt=\"\" class=\"wp-image-7740\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/29-removebg-preview.png 410w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/29-removebg-preview-300x166.png 300w\" sizes=\"auto, (max-width: 410px) 100vw, 410px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#93b9f1\"><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\"><img loading=\"lazy\" decoding=\"async\" width=\"679\" height=\"273\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/30.png\" alt=\"\" class=\"wp-image-7741\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/30.png 679w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/30-300x121.png 300w\" sizes=\"auto, (max-width: 679px) 100vw, 679px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"420\" height=\"222\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/31-removebg-preview.png\" alt=\"\" class=\"wp-image-7742\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/31-removebg-preview.png 420w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/31-removebg-preview-300x159.png 300w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/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\/41729\/111\/882\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-30.png\" alt=\"\" class=\"wp-image-6715\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-30.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-30-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-30-150x150.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\/41543\/785\/960\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-43.png\" alt=\"\" class=\"wp-image-6717\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-43.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-43-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-43-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiply a matrix by a scalar key notes: To&nbsp;multiply a matrix by a scalar, multiply each element of the matrix by the&nbsp;scalar. What you will learn in this lesson We can multiply matrices by real numbers. This article explores how this works. Scalars and scalar multiplication When we work with matrices, we refer to real<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/f-4-multiply-a-matrix-by-a-scalar\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.4 Multiply a matrix by a scalar&#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-126","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/126","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=126"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/126\/revisions"}],"predecessor-version":[{"id":12708,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/126\/revisions\/12708"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}