[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522707-105":59,"doc-detail-522707-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","matrix-equations-not-requiring-inverses-solve-each-equation","Matrix Equations Not Requiring Inverses - Solve Each Equation","","Worksheet for Infinite Algebra 2 focused on solving matrix equations that do not require inverses. Multiple problems present matrix expressions with variables such as B, X, Y, Z, A, C, and M. Each item instructs the student to solve the given equation set, typically by determining the unknown matrix entries or scalar multiples that satisfy the equality. The worksheet organizes problems in numbered sequence from early single-equation items to later multi-parameter cases.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/matrix-equations-not-requiring-inverses-solve-each-equation/522707/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/matrix-equations-not-requiring-inverses-solve-each-equation/522707.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What type of problems are on this worksheet?","Question",{"text":113,"@type":114},"The worksheet contains matrix equations that do not require inverses, asking students to solve each equation.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What do you need to solve in each item?",{"text":118,"@type":114},"You solve for the unknown variable(s) (such as B, X, Y, Z, A, C, or M) so that the two sides of each matrix equation are equal.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the worksheet organized?",{"text":122,"@type":114},"Problems are presented as a numbered set, instructing “Solve each equation” for items listed throughout the page.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522707,1791513324,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nMatrix Equations Not Requiring Inverses Date  Period   \nSolve each equation.  \n1)  \n3)  \n5)  \n7)  \n−5  \n5  \n−20  \n= 5B  \n\n| −10\u003Cbr>4\u003Cbr>3 | = Y − | 7\u003Cbr>−5\u003Cbr>−11 |\n| --- | --- | --- |\n\n\n| −4 −9 12 | − Z = | −12 −5 7 |\n| --- | --- | --- |\n\n\n| −18 8 −11 | = | −9 8 −8 |\n| --- | --- | --- |\n\n− 3X  \n2) A +  \n\n| −9\u003Cbr>−8\u003Cbr>−9 | = | −6\u003Cbr>−11\u003Cbr>−2 |\n| --- | --- | --- |\n\n4) 5B =  \n40  \n35  \n6) 2X =  \n4  \n6  \n −20  \n8)  \n\n| −5 31\u003Cbr>32 30 | = | 3 −5\u003Cbr>0 −2 |\n| --- | --- | --- |\n\n+ 4X  \n9) −3X −  \n\n| 10\u003Cbr>0\u003Cbr>−5\u003Cbr>0 | = | −25\u003Cbr>−30\u003Cbr>−22\u003Cbr>9 | 10) | −17\u003Cbr>−9\u003Cbr>−30\u003Cbr>−12 | = −2B + | −3\u003Cbr>11\u003Cbr>−8\u003Cbr>−6 |\n| --- | --- | --- | --- | --- | --- | --- |\n\n6 −2 −10 −5 24 −7  \n12) −2Y − =  \n4 10 −7 −11 19 5  \n11) = −2X −  \n−7 7  \n−15 9  \n0 4 −4 16 0 0 −3 5 31 −17  \n13) 4C − =  \n−8 6 −6 0 −6 14 14) −4A − −7 −1 = 3 5  \n2 −2 30 −30  \n5 −33 −20 33 −8 1  \n16) = 4X +  \n15) −4B − 2 = −2 15 −15 7 1  \n−6 −22  \n−7 −8 23 14 3 −4 17 4  \n17) −2A − = 18) −4C − =  \n7 6 −3 −20 4 −1 28 1  \n5 4 −6 2 M  \n19) 2M + = − M 20) 5 1 −8 − = −2 −1 3  \n−1 8 0 4 4  \n\n|  |  |  |  |\n| --- | --- | --- | --- |\n\nKuta Software-Infinite Algebra 2 Name   \nMatrix Equations Not Requiring Inverses Date  Period   \nSolve each equation.  \n7)  \n−18 8 −11  3 0 1   \n=  \n−9  \n8 −8   \n− 3X  \n4  \n6) 2X =  6  \n−20   \n2  \n3  \n −10   \n8)  \n\n| −5 31\u003Cbr>32 30 | = | 3 −5\u003Cbr>0 −2 |\n| --- | --- | --- |\n\n+ 4X  \n9) −3X −  \n5  \n10  \n9  \n−3  \n10  \n0  \n−5  \n0  \n=  \n10)  \n−17  \n−9  \n−30  \n−12  \n7  \n10  \n11  \n3  \n\n| = −2B + | −3\u003Cbr>11\u003Cbr>−8\u003Cbr>−6 |\n| --- | --- |\n\n11)  \n= −2X −  \n−2  \n10  \n7  \n9  \n−10 −5  \n12) −2Y −  \n  −7 −11   \n−7 6  \n −6 3   \n=  \n13) 4C −  \n\n| 0 4 −4\u003Cbr>−8 6 −6 | = | 16 0 0\u003Cbr>0 −6 14 |\n| --- | --- | --- |\n\n−3 5  \n14) −4A − −7 −1  \n2 −2   \n−7 3  \n1 −1  \n −8 8    \n=  \n15) −4B −  \n| 5\u003Cbr>2\u003Cbr>−6 | = | −33\u003Cbr>−2\u003Cbr>−22 |\n| --- | --- | --- |\n\n16)  \n−20  \n  15  \n−3  \n  2  \n33  \n−15   \n8  \n−4   \n= 4X +  \n−8  \n  7  \n1  \n1  \n−7 −8  \n17) −2A −  \n  7 6    \n−8 −3  \n −2 7    \n=  \n19) 2M +  \n\n| 5 4\u003Cbr>−1 8 | = | −6 2\u003Cbr>0 4 |\n| --- | --- | --- |\n\n− M  \n3 −4  \n18) −4C −  \n 4 −1   \n−5 0  \n −8 0   \n=  \n20) 5 1 −8  − ~~ ~~M4 = −2 −1 3   \n28 8 −44   \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiitwhpEzMdNH","https://ap.wps.com/l/cbCaiitwhpEzMdNH","pdf",34606,"English","# Solve each equation\n## Variables and matrix equalities (B, X, Y, Z, A, C, M)\n## Numbered problem set","[{\"question\":\"What type of problems are on this worksheet?\",\"answer\":\"The worksheet contains matrix equations that do not require inverses, asking students to solve each equation.\"},{\"question\":\"What do you need to solve in each item?\",\"answer\":\"You solve for the unknown variable(s) (such as B, X, Y, Z, A, C, or M) so that the two sides of each matrix equation are equal.\"},{\"question\":\"How is the worksheet organized?\",\"answer\":\"Problems are presented as a numbered set, instructing “Solve each equation” for items listed throughout the page.\"}]","Matrix Equations Not Requiring Inverses - Solve Each Equation | PDF",1791426081]