{"id":198,"date":"2013-10-23T14:47:11","date_gmt":"2013-10-23T18:47:11","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/bruceedwards\/?page_id=198"},"modified":"2026-03-19T08:16:02","modified_gmt":"2026-03-19T12:16:02","slug":"linear-algebra-week-13","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/bruceedwards\/map230216\/linear-algebra-week-13\/","title":{"rendered":"Week 13 – April 6 – 10"},"content":{"rendered":"\r\n
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Week 13 – April 6 – 10<\/h1>\n\n\n\n

Monday, April 6<\/h3>\n\n\n\n
  • Inner Product Spaces <\/li><\/ul>\n\n\n\n
    Tonight’s Homework<\/h5>\n\n\n\n
    • Read Section 6.1<\/li>\n
    • Homework: Section 6.1 # 2, 3, 8, 9<\/li><\/ul>\n\n\n\n

      Tuesday, April 7<\/h3>\n\n\n\n
      • Inner Products and Norms<\/li>\n
      • Orthogonal sets and orthonormal sets\n<\/li>
      • Written homework 2 due today\n<\/li><\/ul>\n\n\n\n
        Tonight’s Homework<\/h5>\n\n\n\n
        • Read Section 6.1<\/li>\n
        • Begin reading Section 6.2\n<\/li>
        • Homework: Section 6.1 # 10, 11, 17 <\/li><\/ul>\n\n\n\n

          Wednesday, April 8<\/h3>\n\n\n\n
          • The Gram-Schmidt Orthogonalization algorithm<\/li>\n
          • The QR algorithm\n<\/li><\/ul>\n\n\n\n
            Tonight’s Homework<\/h5>\n\n\n\n
            • Read Section 6.2 <\/li>\n
            • Homework: Section Section 6.2 # 2 a, c, 3 <\/li>\n
            • Handout #1\n<\/li><\/ul>\n\n\n\n

              Friday, April 10<\/h3>\n\n\n\n
              • Orthogonal bases, orthogonal complements, and projections<\/li><\/ul>\n\n\n\n
                Tonight’s Homework<\/h5>\n\n\n\n
                • Read Section 6.2<\/li>\n
                • Homework: Section 6.2 # 1, 5<\/li>\n
                • Handout #2, 3\n<\/li>
                • Written Homework 3 due Tuesday: Use the Gram-Schmidt orthonormalization<\/li>\n
                • process to obtain an orthonormal basis for the set<\/li>\n
                • S = { (3,4,0,0), (-1,1,0,0), (2,1,0,-1), (0,1,1,0) }.<\/li>\n
                • Use the vectors in the order they are given.<\/li><\/ul>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":302,"featured_media":0,"parent":137,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-198","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/pages\/198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/users\/302"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/comments?post=198"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/pages\/198\/revisions"}],"predecessor-version":[{"id":1453,"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/pages\/198\/revisions\/1453"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/pages\/137"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/bruceedwards\/wp-json\/wp\/v2\/media?parent=198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}