{"id":1786,"date":"2015-11-12T18:30:45","date_gmt":"2015-11-12T18:30:45","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&#038;p=1786"},"modified":"2015-11-12T18:30:45","modified_gmt":"2015-11-12T18:30:45","slug":"introduction-matrices-and-matrix-operations","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/chapter\/introduction-matrices-and-matrix-operations\/","title":{"raw":"Introduction: Matrices and Matrix Operations","rendered":"Introduction: Matrices and Matrix Operations"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Objectives<\/h3>\nBy the end of this section, you will be able to:\n<ul><li>Find the sum and difference of two matrices.<\/li>\n\t<li>Find scalar multiples of a matrix.<\/li>\n\t<li>Find the product of two matrices.<\/li>\n<\/ul><\/div>\n\n[caption id=\"\" align=\"aligncenter\" width=\"488\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/924\/2015\/11\/25202141\/CNX_Precalc_Figure_09_05_001n2.jpg\" alt=\"Two teams playing soccer.\" width=\"488\" height=\"493\" data-media-type=\"image\/jpg\"\/><b>Figure 1.<\/b> (credit: \"SD Dirk,\" Flickr)[\/caption]\n\nTwo club soccer teams, the Wildcats and the Mud Cats, are hoping to obtain new equipment for an upcoming season. <a class=\"autogenerated-content\" href=\"#Table_09_05_01\">[link]<\/a> shows the needs of both teams.\n<table id=\"Table_09_05_01\" summary=\"..\"><thead><tr><th\/>\n<th data-align=\"center\">Wildcats<\/th>\n<th data-align=\"center\">Mud Cats<\/th>\n<\/tr><\/thead><tbody><tr><td data-align=\"center\"><strong>Goals<\/strong><\/td>\n<td data-align=\"center\">6<\/td>\n<td data-align=\"center\">10<\/td>\n<\/tr><tr><td data-align=\"center\"><strong>Balls<\/strong><\/td>\n<td data-align=\"center\">30<\/td>\n<td data-align=\"center\">24<\/td>\n<\/tr><tr><td data-align=\"center\"><strong>Jerseys<\/strong><\/td>\n<td data-align=\"center\">14<\/td>\n<td data-align=\"center\">20<\/td>\n<\/tr><\/tbody><\/table>\nA goal costs $300; a ball costs $10; and a jersey costs $30. How can we find the total cost for the equipment needed for each team? In this section, we discover a method in which the data in the soccer equipment table can be displayed and used for calculating other information. Then, we will be able to calculate the cost of the equipment.","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Objectives<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Find the sum and difference of two matrices.<\/li>\n<li>Find scalar multiples of a matrix.<\/li>\n<li>Find the product of two matrices.<\/li>\n<\/ul>\n<\/div>\n<div style=\"width: 498px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images-archive-read-only\/wp-content\/uploads\/sites\/924\/2015\/11\/25202141\/CNX_Precalc_Figure_09_05_001n2.jpg\" alt=\"Two teams playing soccer.\" width=\"488\" height=\"493\" data-media-type=\"image\/jpg\" \/><\/p>\n<p class=\"wp-caption-text\"><b>Figure 1.<\/b> (credit: &#8220;SD Dirk,&#8221; Flickr)<\/p>\n<\/div>\n<p>Two club soccer teams, the Wildcats and the Mud Cats, are hoping to obtain new equipment for an upcoming season. <a class=\"autogenerated-content\" href=\"#Table_09_05_01\">[link]<\/a> shows the needs of both teams.<\/p>\n<table id=\"Table_09_05_01\" summary=\"..\">\n<thead>\n<tr>\n<th>\n<\/th>\n<th data-align=\"center\">Wildcats<\/th>\n<th data-align=\"center\">Mud Cats<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td data-align=\"center\"><strong>Goals<\/strong><\/td>\n<td data-align=\"center\">6<\/td>\n<td data-align=\"center\">10<\/td>\n<\/tr>\n<tr>\n<td data-align=\"center\"><strong>Balls<\/strong><\/td>\n<td data-align=\"center\">30<\/td>\n<td data-align=\"center\">24<\/td>\n<\/tr>\n<tr>\n<td data-align=\"center\"><strong>Jerseys<\/strong><\/td>\n<td data-align=\"center\">14<\/td>\n<td data-align=\"center\">20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A goal costs $300; a ball costs $10; and a jersey costs $30. How can we find the total cost for the equipment needed for each team? In this section, we discover a method in which the data in the soccer equipment table can be displayed and used for calculating other information. Then, we will be able to calculate the cost of the equipment.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1786\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Precalculus. <strong>Authored by<\/strong>: OpenStax College. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1\/Preface\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1\/Preface<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":276,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Precalculus\",\"author\":\"OpenStax College\",\"organization\":\"OpenStax\",\"url\":\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1\/Preface\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1786","chapter","type-chapter","status-publish","hentry"],"part":1784,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1786","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/users\/276"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1786\/revisions"}],"predecessor-version":[{"id":2256,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1786\/revisions\/2256"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/parts\/1784"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/1786\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/media?parent=1786"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=1786"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/contributor?post=1786"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/wp-json\/wp\/v2\/license?post=1786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}