[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522709-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522709-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","matrix-equations-inverses","Matrix Equations - Inverses","","Worksheet for Infinite Algebra 2 focused on solving matrix equations involving inverses. Students solve multiple equations labeled 1 through 16, including tasks where variables are set equal to products of matrices and where equations may have no unique solution. The sheet includes sections that require determining solution uniqueness and a critical-thinking component asking for matrix dimensions and finding at least one valid solution to a given matrix equation.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/matrix-equations-inverses/522709/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/matrix-equations-inverses/522709.png","ImageObject",300,407,{"name":42,"@type":43},"Jake","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to do with each labeled equation?","Question",{"text":63,"@type":64},"Solve each matrix equation. Some problems also require determining whether there is no unique solution.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are problems 9–14 different from problems 1–8?",{"text":68,"@type":64},"Problems 9–14 include instructions to solve the equation or state explicitly if there is no unique solution.",{"name":70,"@type":61,"acceptedAnswer":71},"What critical-thinking tasks appear on the worksheet?",{"text":72,"@type":64},"One question asks for the dimensions of M (assuming a solution exists), and another asks students to find one solution to a specified matrix equation.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522709,1791489327,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":123,"preview_page_count":4},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name___________________________________  \nMatrix Equations-Inverses Required Date________________ Period____  \nSolve each equation.  \n4 −2 −6 −1 1 4  \n1)  X = 2) C =  \n−7 2   12     5 −2     −26   \n2 −3 −1 1 −9 −35  \n3)  Z = 4) Z =  \n−5 5   20     1 0     −8    \n5)  Z = 6) 3X =  \n−1 2 6 12 −12  \n−6 10   22     21 −27   \n7)   = X 8) =  X  \n25 13 7 −2 20 −3 −6 −5  \n13 9   3 −2     15 −3   −5 −4  \nSolve each equation or state if there is no unique solution.  \n9) Y −  \n\n| −1\u003Cbr>−5\u003Cbr>8\u003Cbr>8 | = | −6\u003Cbr>6\u003Cbr>−16\u003Cbr>0 |\n| --- | --- | --- |\n\n10)  \n11)  \n13)  \n\n| 0 −4\u003Cbr>0 −1 | X = | 28 0 −20\u003Cbr>7 0 −5 |\n| --- | --- | --- |\n\n\n| −1 −2\u003Cbr>2 9 | B = | −3 −5 13\u003Cbr>21 0 −36 |\n| --- | --- | --- |\n\n12)  \n14)  \nX =  \n−6  \n −40  \n9 −15 −21 39  \n=  \n2  \n −7  \n\n| −1 −9\u003Cbr>0 −1 | C = | 11\u003Cbr>2 |\n| --- | --- | --- |\n\n3  \n−40  \n−3  \n9  \nX  \nCritical thinking questions:  \n15) Assuming that a solution exists, what are the dimensions of M?    \n1 2 −2 3  \n3 4 M = 5 −10  5 6     0 1    \n\n|  |  |  |\n| --- | --- | --- |\n\n16) Find one solution to:  \n\n| 0 1\u003Cbr>0 0 | X = | 3 5\u003Cbr>0 0 |\n| --- | --- | --- |\n\nKuta Software-Infinite Algebra 2 Name   \nMatrix Equations-Inverses Required Date  Period   \nSolve each equation.  \n1)  \n3)  \n\n| 4 −2\u003Cbr>−7 2 | X = | −6\u003Cbr>12 |\n| --- | --- | --- |\n\n| 2 −3\u003Cbr>−5 5 | Z = | −1\u003Cbr>20 |\n| --- | --- | --- |\n\n5)  \n\n| −1 2\u003Cbr>−6 10 | Z = | 6\u003Cbr>22 |\n| --- | --- | --- |\n\n7)  \n\n| 25 13\u003Cbr>13 9 | = | 7 −2\u003Cbr>3 −2 |\n| --- | --- | --- |\n\nX  \n2)  \n\n| −1 1\u003Cbr>5 −2 | C = | 4\u003Cbr>−26 |\n| --- | --- | --- |\n\n4)  \n\n| 1 −9\u003Cbr>1 0 | Z = | −35\u003Cbr>−8 |\n| --- | --- | --- |\n\n12 −12  \n6) 3X =  \n 21 −27   \n4 −4  \n 7 −9   \n8)  \n\n| 20 −3\u003Cbr>15 −3 | = | −6 −5\u003Cbr>−5 −4 |\n| --- | --- | --- |\n\nX  \nSolve each equation or state if there is no unique solution.  \n9) Y  \n=  \n11)  \n\n| 0 −4\u003Cbr>0 −1 | X = | 28 0 −20\u003Cbr>7 0 −5 |\n| --- | --- | --- |\n\nNo unique solution  \n10)  \n12)  \nX =  \n−6  \n −40  \n9  \n −21  \n−6  \n −7  \n−15  \n39    \n6  \n9   \n=  \n2  \n −7  \n3  \n−40  \n−3  \n9  \nX  \n13)  \nB  \n=  \n−3  \n 21  \n−9  \n−2   \n−5  \n0  \n13  \n−36  \n14)  \n\n| −1 −9\u003Cbr>0 −1 | C = | 11\u003Cbr>2 |\n| --- | --- | --- |\n\nCritical thinking questions:  \n15) Assuming that a solution exists, what are the dimensions of M?    \n1 2 −2 3  \n3 4 M = 5 −10  5 6     0 1    \n2 × 2  \n\n|  |  |  |\n| --- | --- | --- |\n\n16) Find one solution to:  \n\n| 0 1\u003Cbr>0 0 | X = | 3 5\u003Cbr>0 0 |\n| --- | --- | --- |\n\n2 2  \nMany answers. Ex:  \n 3 5  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaioKwAhlrIhGF","https://ap.wps.com/l/cbCaioKwAhlrIhGF","pdf",34090,"English","# Solve each equation\n## Solve each equation or state if there is no unique solution\n# Critical thinking questions","[{\"question\":\"What does the worksheet ask students to do with each labeled equation?\",\"answer\":\"Solve each matrix equation. Some problems also require determining whether there is no unique solution.\"},{\"question\":\"How are problems 9–14 different from problems 1–8?\",\"answer\":\"Problems 9–14 include instructions to solve the equation or state explicitly if there is no unique solution.\"},{\"question\":\"What critical-thinking tasks appear on the worksheet?\",\"answer\":\"One question asks for the dimensions of M (assuming a solution exists), and another asks students to find one solution to a specified matrix equation.\"}]","Matrix Equations - Inverses | PDF",1791426083]