[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522621-105":59,"doc-detail-522621-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","determinants-of-3x3-matrices-mathematics-worksheet","Determinants of 3x3 Matrices - Mathematics Worksheet","","This worksheet provides a structured series of exercises focused on calculating the determinants of 3x3 matrices. It is designed for students enrolled in an Algebra 2 course, serving as a practice resource for mastering linear algebra techniques. The document includes a set of problems for evaluation, ranging from standard numerical matrices to algebraic representations, and includes a specific application problem regarding solving for unknown variables within a matrix structure. This material is ideal for classroom assignments, independent study, and exam preparation to reinforce computational proficiency and understanding of matrix properties.",{"@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/determinants-of-3x3-matrices-mathematics-worksheet/522621/",{"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/determinants-of-3x3-matrices-mathematics-worksheet/522621.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How is a 3x3 matrix determinant typically evaluated?","Question",{"text":112,"@type":113},"The determinant of a 3x3 matrix is calculated using methods such as expansion by minors along a row or column, or by applying Sarrus' Rule for systematic multiplication and subtraction of diagonals.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the purpose of this worksheet?",{"text":117,"@type":113},"This worksheet is designed to help Algebra 2 students practice calculating determinants of 3x3 matrices to build fluency in linear algebra operations.",{"name":119,"@type":110,"acceptedAnswer":120},"Does this worksheet cover variable solving in matrices?",{"text":121,"@type":113},"Yes, problem 12 specifically asks students to determine the value of a variable 'x' within a matrix that satisfies a given determinant value.","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},522621,1791797384,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 2 Name   \nDeterminants of 3×3 Matrices Date  Period   \nEvaluate the determinant of each matrix.  \n1)  \n\n| 3 −2 1\u003Cbr>3 −1 −2\u003Cbr>3 −2 −3 | 2) | −3\u003Cbr>0\u003Cbr>3 | 2\u003Cbr>−1\u003Cbr>0 | −3\u003Cbr>−1\u003Cbr>−3 |\n| --- | --- | --- | --- | --- |\n\nEvaluate each determinant.  \n3)  \n5)  \n7)  \n9)  \n11)  \n5  \n−4  \n5  \n6  \n−5  \n3  \n3  \n−4  \n1  \n−1  \n4  \n−10  \n0  \n0  \n0  \n3  \n−5  \n3  \n2  \n−4  \n−3  \n4  \n6  \n−4  \n3  \n1  \n0  \n−1  \n−5  \n1  \n5  \n3  \n3  \n−8 9  \n12 −7 3 2  \na  \nc  \nx  \nb  \nd  \ny  \n4)  \n6)  \n8)  \n10)  \n−6  \n3  \n4  \n−2  \n0  \n−5  \n6  \n−5  \n1  \n−5  \n−8  \n8  \n−6  \n−5  \n3  \n5  \n−3  \n5  \n5  \n4  \n−4  \n5  \n9  \n5  \n1  \n−2  \n−3  \n−4  \n5  \n−6  \n−3  \n−2  \n5  \n5  \n−3  \n9  \n12) What value of x makes the determinant −4?  \nKuta Software-Infinite Algebra 2 Name   \nDeterminants of 3×3 Matrices Date  Period   \nEvaluate the determinant of each matrix.  \n1)  \n−12  \n2)  \n−3 2 −3  \n0 −1 −1  \n  3 0 −3   \n−24  \nEvaluate each determinant.  \n3)  \n5)  \n7)  \n9)  \n11)  \n5 3  \n−4 −5 5 3  \n39  \n6 2  \n−5 −4  \n3 −3  \n−161  \n3 4  \n−4 6  \n1 −4  \n200  \n−1 −8 4 12  \n−10 3  \n647  \n3  \n1  \n0  \n−1  \n−5  \n1  \n5  \n3  \n3  \n9  \n−7  \n2  \n\n| 0 | a | b |\n| --- | --- | --- |\n| 0 | c | d |\n| 0 | x | y |\n\n0  \n4)  \n6)  \n8)  \n10)  \n−6 −6 1  \n3 −5 −2  \n4 3 −3  \n−103  \n−2 5 −4  \n0 −3 5  \n−5 5 −6  \n−51  \n6 5 −3  \n−5 4 −2  \n1 −4 5  \n139  \n−5 5 5  \n−8 9 −3  \n8 5 9  \n−800  \n12) What value of x makes the determinant −4?  \n−2  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaivs4cdqjNTMI","https://ap.wps.com/l/cbCaivs4cdqjNTMI","pdf",24199,"English","# Exercises\n## Determinant Calculation Problems\n## Variable Solving Problem","[{\"question\":\"How is a 3x3 matrix determinant typically evaluated?\",\"answer\":\"The determinant of a 3x3 matrix is calculated using methods such as expansion by minors along a row or column, or by applying Sarrus' Rule for systematic multiplication and subtraction of diagonals.\"},{\"question\":\"What is the purpose of this worksheet?\",\"answer\":\"This worksheet is designed to help Algebra 2 students practice calculating determinants of 3x3 matrices to build fluency in linear algebra operations.\"},{\"question\":\"Does this worksheet cover variable solving in matrices?\",\"answer\":\"Yes, problem 12 specifically asks students to determine the value of a variable 'x' within a matrix that satisfies a given determinant value.\"}]","Determinants of 3x3 Matrices - Mathematics Worksheet | PDF",1791425987]