{"id":9650,"date":"2022-01-20T16:58:24","date_gmt":"2022-01-20T11:28:24","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9650"},"modified":"2022-01-20T17:40:42","modified_gmt":"2022-01-20T12:10:42","slug":"what-is-the-identity-relation-with-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-identity-relation-with-examples\/","title":{"rendered":"What is the Identity Relation with Examples ?"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Let A be a set. Then, the relation \\(I_A\\) = {(a, a) : a \\(\\in\\) A} on A is called the <strong>identity relation<\/strong> on A.<\/p>\n<p>In other words, then the relation \\(I_A\\) on A is called the identity relation if every element of A is related to itself only.<\/p>\n<p><span style=\"color: #3498db;\"><strong>Example<\/strong><\/span> : If A = {1, 2, 3}, then the relation \\(I_A\\) = {(1, 1), (2, 2) (3, 3)} is the identity relation on set A. But, relations \\(R_1\\) = {(1, 1), (2, 2)} and \\(R_2\\) = {(1, 1), (2, 2), (3, 3), (1, 3)} are not identity relations on A, because (3, 3) \\(\\notin\\) \\(R_1\\) and in \\(R_2\\) element 1 is related to elements 1 and 3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Let A be a set. Then, the relation \\(I_A\\) = {(a, a) : a \\(\\in\\) A} on A is called the identity relation on A. In other words, then the relation \\(I_A\\) on A is called the identity relation if every element of A is related to itself only. Example : If A &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/what-is-the-identity-relation-with-examples\/\"> <span class=\"screen-reader-text\">What is the Identity Relation with Examples ?<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,56],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the Identity Relation with Examples ? - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/what-is-the-identity-relation-with-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Identity Relation with Examples ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : Let A be a set. 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