[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522585-105":59,"doc-detail-522585-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","all-matrix-operations-worksheet","All Matrix Operations - Worksheet","","Practice worksheet for Infinite Algebra 2 on matrix operations, focused on simplifying matrix expressions and determining when results are undefined. Items include scalar multiplication, products of matrices, matrix subtraction, and more complex expressions involving matrix multiplication with parentheses. Several problems require evaluating composite expressions while ensuring dimensions are compatible, then simplifying to reach final matrix forms. Critical thinking questions test understanding of subtraction-then-multiplication order and properties of matrix equalities using matrices A, B, and C.",{"@graph":69,"@context":122},[70,84,105],{"@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/all-matrix-operations-worksheet/522585/",{"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/all-matrix-operations-worksheet/522585.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you know when a matrix expression should be written as \"undefined\"?","Question",{"text":112,"@type":113},"When the matrices involved cannot be combined due to incompatible dimensions for the operation (especially matrix multiplication), the expression is undefined.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of operations are included in this worksheet?",{"text":117,"@type":113},"The worksheet includes simplifying expressions with scalar multiplication, matrix subtraction, and matrix multiplication, including cases inside parentheses.",{"name":119,"@type":110,"acceptedAnswer":120},"In the critical thinking question about A(B + C), what does it test?",{"text":121,"@type":113},"It tests whether the distributive-like relationship A(B + C) equals AB + AC is always true, sometimes true, or false for matrices A, B, and C.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522585,1791732897,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Algebra 2 Name   \nAll Matrix Operations Date  Period   \nSimplify. Write \"undefined\" for expressions that are undefined.  \n1)  −11  ⋅   2)  64 ⋅ ( 32 + 12 20)  \n3)  \n5)  \n7)  \n\n| \u003Cbr>−1 5\u003Cbr>  5 −5 | ⋅ | \u003Cbr>−3 6\u003Cbr>−3 0  |\n| --- | --- | --- |\n\n\n| −2\u003Cbr>−3\u003Cbr>−6\u003Cbr>2 | + | −4\u003Cbr>6\u003Cbr>0\u003Cbr>−3 |\n| --- | --- | --- |\n\n3  \n0  \n1  \n5  \n3  \n−3  \n+  \n−1  \n  6  \n3  \n1  \n⋅  \n0 −6 1 1  \n−1  \n4  \n1 −6 1  \n4)   ⋅   +  \n3 5 5  \n6) −4 ⋅ ( −13 −64 ⋅  \n8) −5( +    \n−6 4  \n)  \n9)  \n−1 −1  \n−6 3  \n+  \n−5  \n −4  \n−1  \n2  \n⋅  \n3  \n1  \n6  \n6  \n10)  \n\n| −2\u003Cbr>−6 | − 3 | −6\u003Cbr>0 |\n| --- | --- | --- |\n\n−3 −5 −5  \n11) −2  \n  0 5 −6  \n+  \n4 −1 −3 6 3 2  \n12)  \n−5 1  \n−4 −5  \n⋅ ( 5  \n−6  \n−4 2  \n3 −6  \n+  \n3  \n5  \n−5  \n5  \n2  \n3  \n)  \n13) (  \n−4 y 2  \n2 y  \n3    \n+  \n2 y 6  \n2 2x  \n)  \n⋅  \n5  \n −5  \n14)  \n\n| 6 y y 2\u003Cbr>−2 y −2 y | ⋅ | − y\u003Cbr>−6 | xy\u003Cbr>x 2 | − | 6 y −6\u003Cbr>−3 y y |\n| --- | --- | --- | --- | --- | --- |\n\nCritical thinking questions:  \n15) Give an example of a matrix expression in which you would first perform a matrix subtraction and then a matrix multiplication. Use any numbers and dimensions you would like but be sure that your expression isn't undefined.  \n16) A, B, and C are matrices: A(B + C) = AB + CAA) Always true B) Sometimes true C) False  \nKuta Software-Infinite Algebra 2 Name   \nAll Matrix Operations Date  Period   \nSimplify. Write \"undefined\" for expressions that are undefined.  \n1)  \n2 −1  \n−6 1  \n11  \n −27  \n4 ⋅  \n    −3  \n13  \n−29   \n4  \n−5  \n2)  \n⋅ (  \n22  \n−22   \n3  \n2  \n\n| + | 1 2\u003Cbr>2 0 |\n| --- | --- |\n\n)  \n3)  \n−1 5 −3 ⋅  \n  5 −5     −3  \n−12 −6  \n  0 30   \n6  \n0  \n4)  \n\n| \u003Cbr>1 −6\u003Cbr> 3 5 | ⋅ | \u003Cbr>1\u003Cbr>5  |\n| --- | --- | --- |\n\nUndefined  \n+  \n5)  \n7)  \n+  \n−4  \n6  \n0  \n−3  \n3 1 3 0 5 −3  \n6 10  \n1 −30  \n−1 +  \n  6  \n16  \n−5   \n3  \n1  \n\n| ⋅ | 0 −6 −1\u003Cbr>1 1 4 |\n| --- | --- |\n\n6) −4 ⋅ ( −13  \n−48  \n  24  \n−6  \n4  \n−24  \n40  \n⋅  \n2  \n8) −5(−16   \n−20 25  \n  10    \n+  \n2  \n−4  \n4  \n)  \n−2  \n −1  \n6  \n−4  \n)  \n10)  \n\n| −2\u003Cbr>−6 | − 3 | −6\u003Cbr>0 |\n| --- | --- | --- |\n\n−3 −5 −5 4 −1 −3  \n11) −2  +  \n0 5 −6   6 3 2    \n10 9 7  \n  6 −7 14   \n12) −54 −15  ⋅ (   −43  + 35 −55 23)  \n−41 53 −23  \n −27 −4 −1    \n13) ( − 42y 2 y3 + 2 y2 62x) ⋅  14)  y  ⋅ −y6 xxy2 −    −6y  \n−20 y − 30 −12 y2 − 6 y 6 y2x + y 2x2 + 6  \n  5 − 10x     2 y2 + 15 y −2 y2x − 2 yx2 − y    \nCritical thinking questions:  \n15) Give an example of a matrix expression in which you would first perform a matrix subtraction and then a matrix multiplication. Use any numbers and dimensions you would like but be sure that your expression isn't undefined.  \nMany answers. Ex:  \n\n| 1 2\u003Cbr>3 4 | ⋅ ( | 1 2\u003Cbr>3 4 | − | a\u003Cbr>c | b\u003Cbr>d |\n| --- | --- | --- | --- | --- | --- |\n\n16) A, B, and C are matrices: A(B + C) = AB + CAA) Always true *B) Sometimes true C) False  \n)  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaidK2zwrg1MZh","https://ap.wps.com/l/cbCaidK2zwrg1MZh","pdf",38188,"English","# Simplify the matrix expressions\n## Matrix subtraction and multiplication problems\n## Undefined cases and compatibility checks\n## Critical thinking questions","[{\"question\":\"How do you know when a matrix expression should be written as \\\"undefined\\\"?\",\"answer\":\"When the matrices involved cannot be combined due to incompatible dimensions for the operation (especially matrix multiplication), the expression is undefined.\"},{\"question\":\"What types of operations are included in this worksheet?\",\"answer\":\"The worksheet includes simplifying expressions with scalar multiplication, matrix subtraction, and matrix multiplication, including cases inside parentheses.\"},{\"question\":\"In the critical thinking question about A(B + C), what does it test?\",\"answer\":\"It tests whether the distributive-like relationship A(B + C) equals AB + AC is always true, sometimes true, or false for matrices A, B, and C.\"}]","All Matrix Operations - Worksheet | PDF",1791425943]