{"id":2569,"date":"2014-01-06T07:35:44","date_gmt":"2014-01-06T01:35:44","guid":{"rendered":"http:\/\/www.se.edu\/kfrinkle\/?page_id=2569"},"modified":"2014-01-06T07:35:44","modified_gmt":"2014-01-06T01:35:44","slug":"math-4133-linear-algebra","status":"publish","type":"page","link":"https:\/\/www.se.edu\/kfrinkle\/old-teaching-material\/spring-2009\/math-4133-linear-algebra\/","title":{"rendered":"Math 4133 &#8211; Linear Algebra"},"content":{"rendered":"<div>\n<table width=\"100%\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr valign=\"top\">\n<td width=\"100%\">\n<h3>Course Information:<\/h3>\n<ul>\n<li>Syllabus: view <a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009syllabus.pdf\" target=\"_blank\" rel=\"noopener\">*here*<\/a><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div>\n<h3>Course Materials:<\/h3>\n<p>     Quizzes:<\/p>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz1.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz1solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 1 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz2.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz2solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 2 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz3.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 3<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz3solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 3 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz4.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 4<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz4solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 4 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz5.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 5<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz5solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 5 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz6.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 6<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz6solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 6 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz7.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 7<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz7solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 7 Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz8.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 8<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009quiz8solutions.pdf\" target=\"_blank\" rel=\"noopener\">Quiz 8 Solutions<\/a><\/li>\n<\/ul>\n<p>&nbsp;<br \/>\n\t  Maple Worksheets<\/p>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section1_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 1.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section1_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 1.3<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section2_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 2.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section2_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 2.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section2_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 2.3<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section3_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 3.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section3_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 3.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section3_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 3.3<\/a> (for a no graphics version click <a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section3_3code_nographics.mw\" target=\"_blank\" rel=\"noopener\">here<\/a>)<\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section4_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 4.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section4_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 4.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section4_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 4.3<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section4_4code.mw\" target=\"_blank\" rel=\"noopener\">Section 4.4<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section4_5code.mw\" target=\"_blank\" rel=\"noopener\">Section 4.5<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.3<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_4code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.4<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_5code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.5<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section5_6code.mw\" target=\"_blank\" rel=\"noopener\">Section 5.6<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section6_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 6.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section6_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 6.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section6_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 6.3<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section6_4code.mw\" target=\"_blank\" rel=\"noopener\">Section 6.4<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section7_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 7.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section7_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 7.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section7_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 7.3<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section9_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 9.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section9_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 9.2<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section9_3code.mw\" target=\"_blank\" rel=\"noopener\">Section 9.3<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section9_4code.mw\" target=\"_blank\" rel=\"noopener\">Section 9.4<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section9_5code.mw\" target=\"_blank\" rel=\"noopener\">Section 9.5<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section10_1code.mw\" target=\"_blank\" rel=\"noopener\">Section 10.1<\/a><\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring2009Section10_2code.mw\" target=\"_blank\" rel=\"noopener\">Section 10.2<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090114.mw\" target=\"_blank\" rel=\"noopener\">2009.01.14<\/a> &#8211; &#8216;A Few Random Commands&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090116.mw\" target=\"_blank\" rel=\"noopener\">2009.01.16<\/a> &#8211; &#8216;Section 2.1 + some extras&#8230;&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090121.mw\" target=\"_blank\" rel=\"noopener\">2009.01.21<\/a> &#8211; &#8216;Solve command and matrix manipulations&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090123.mw\" target=\"_blank\" rel=\"noopener\">2009.01.23<\/a> &#8211; &#8216;Adding text, addrow, mulrow and plots&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090126.mw\" target=\"_blank\" rel=\"noopener\">2009.01.26<\/a> &#8211; &#8216;Matrix operations&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090128.mw\" target=\"_blank\" rel=\"noopener\">2009.01.28<\/a> &#8211; &#8216;Matrix manipulations and a sample of programming&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090202.mw\" target=\"_blank\" rel=\"noopener\">2009.02.02<\/a> &#8211; &#8216;Elementary matrices&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090204.mw\" target=\"_blank\" rel=\"noopener\">2009.02.04<\/a> &#8211; &#8216;An example of sensitivity in linear systems&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090206.mw\" target=\"_blank\" rel=\"noopener\">2009.02.06<\/a> &#8211; &#8216;Problem 1 from HW Secion 3.3 explored&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090209.mw\" target=\"_blank\" rel=\"noopener\">2009.02.09<\/a> &#8211; &#8216;Fitting circles and parabolas to three points&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090211.mw\" target=\"_blank\" rel=\"noopener\">2009.02.11<\/a> &#8211; &#8216;Quiz 3 and Frobenius norm&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090213.mw\" target=\"_blank\" rel=\"noopener\">2009.02.13<\/a> &#8211; &#8216;Problems with fitting data to curves&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090227.mw\" target=\"_blank\" rel=\"noopener\">2009.02.27<\/a> &#8211; &#8216;Eigenvalue problem, cofactor and adjoint matrices&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090302.mw\" target=\"_blank\" rel=\"noopener\">2009.03.02<\/a> &#8211; &#8216;Forward substitution&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090403_a.mw\" target=\"_blank\" rel=\"noopener\">2009.04.03<\/a> &#8211; &#8216;Rotating osculating circle about ellipse 1&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090403_b.mw\" target=\"_blank\" rel=\"noopener\">2009.04.03<\/a> &#8211; &#8216;Rotating osculating circle about ellipse 2&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090420.mw\" target=\"_blank\" rel=\"noopener\">2009.04.20<\/a> &#8211; &#8216;Graphical depiction of an orthonormal basis in R^3&#8217;<\/li>\n<li><a href=\"https:\/\/www.se.edu\/kfrinkle\/wp-content\/uploads\/sites\/89\/2014\/01\/Math4133Spring20090506.mw\" target=\"_blank\" rel=\"noopener\">2009.05.06<\/a> &#8211; &#8216;The Dot Product Matrix&#8217;<\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Course Information: Syllabus: view *here* Course Materials: Quizzes: Quiz 1 Quiz 1 Solutions Quiz 2 Quiz 2 Solutions Quiz 3 Quiz 3 Solutions Quiz 4 Quiz 4 Solutions Quiz 5 [&hellip;]<\/p>\n","protected":false},"author":42,"featured_media":0,"parent":2499,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2569","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is 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