{"id":987495742,"date":"2024-10-29T13:27:26","date_gmt":"2024-10-29T07:57:26","guid":{"rendered":"https:\/\/testece.iisc.ac.in\/~cmurthy\/wordpress\/?page_id=987495742"},"modified":"2024-10-29T13:29:53","modified_gmt":"2024-10-29T07:59:53","slug":"e2-212-matrix-theory-6","status":"publish","type":"page","link":"https:\/\/ece.iisc.ac.in\/~cmurthy\/e2-212-matrix-theory-6\/","title":{"rendered":"E2 212: Matrix Theory"},"content":{"rendered":"

[et_pb_section fb_built=”1″ fullwidth=”on” _builder_version=”4.27.0″ background_image=”https:\/\/ece.iisc.ac.in\/~cmurthy\/wp-content\/uploads\/2024\/09\/GOPR0015-scaled.jpg” global_colors_info=”{}”][et_pb_fullwidth_header title=”E2 212: Matrix Theory” content_max_width=”none” module_class=”sub_header” _builder_version=”4.27.0″ title_font=”|on|||” title_text_color=”#FFFFFF” title_font_size=”50px” background_color=”rgba(255, 255, 255, 0)” background_image=”https:\/\/ece.iisc.ac.in\/~cmurthy\/wp-content\/uploads\/2024\/09\/abstract-1438441.jpg” parallax=”on” button_one_letter_spacing_hover=”0″ button_two_letter_spacing_hover=”0″ global_colors_info=”{}” button_one_text_size__hover_enabled=”off” button_two_text_size__hover_enabled=”off” button_one_text_color__hover_enabled=”off” button_two_text_color__hover_enabled=”off” button_one_border_width__hover_enabled=”off” button_two_border_width__hover_enabled=”off” button_one_border_color__hover_enabled=”off” button_two_border_color__hover_enabled=”off” button_one_border_radius__hover_enabled=”off” button_two_border_radius__hover_enabled=”off” button_one_letter_spacing__hover_enabled=”on” button_one_letter_spacing__hover=”0″ button_two_letter_spacing__hover_enabled=”on” button_two_letter_spacing__hover=”0″ button_one_bg_color__hover_enabled=”off” button_two_bg_color__hover_enabled=”off”][\/et_pb_fullwidth_header][\/et_pb_section][et_pb_section fb_built=”1″ _builder_version=”4.27.0″ _module_preset=”default” global_colors_info=”{}”][et_pb_row _builder_version=”4.27.0″ _module_preset=”default” custom_padding=”|||0px||” global_colors_info=”{}”][et_pb_column type=”4_4″ _builder_version=”4.27.0″ _module_preset=”default” global_colors_info=”{}”][et_pb_text _builder_version=”4.27.0″ _module_preset=”default” custom_padding=”|||11px|false|false” hover_enabled=”0″ global_colors_info=”{}” sticky_enabled=”0″]<\/p>\n

Logistics<\/h2>\n
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Instructor:<\/strong>\u00a0Chandra R. Murthy (cmurthy at ece)
Class hours:<\/strong>\u00a0MWF 9.30-11am,\u00a0Room EC1.07, ECE Dept.<\/strong>
TAs<\/strong>:\u00a0B. N. Bharath<\/a>\u00a0and\u00a0Abhay Sharma<\/a>
TA Hours<\/strong>: MW 11am-12pm<\/p>\n

Textbooks:<\/strong><\/p>\n

1. Horn and Johnson, Matrix Analysis, Cambridge University Press
2. David Lewis, Matrix Theory, Allied Publishers
3. Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
4. Gilbert Strang, Linear Algebra and its Application, 3rd Ed., Harcourth Brace Jovanovich Pubs.\u00a0Also see the video lectures<\/strong>\u00a0here<\/a>.<\/p>\n<\/div>\n

\u00a0<\/h3>\n

Syllabus:<\/h3>\n
\n
\n\n\n\n\n\n\n\n\n\n\n\n\n
S. No.<\/th>\nTopic<\/th>\nNum. Lectures<\/th>\n<\/tr>\n
1<\/td>\nBackground and review<\/td>\n3<\/td>\n<\/tr>\n
2<\/td>\nEigenvalues and eigenvectors<\/td>\n5<\/td>\n<\/tr>\n
3<\/td>\nSingular value decomposition<\/td>\n3<\/td>\n<\/tr>\n
4<\/td>\nThe quadratic form, error analysis<\/td>\n4<\/td>\n<\/tr>\n
5<\/td>\nGaussian elimination and LU factorization<\/td>\n5<\/td>\n<\/tr>\n
6<\/td>\nThe full-rank least-squares problem<\/td>\n3<\/td>\n<\/tr>\n
7<\/td>\nRank deficient LS, generalized pseudoinverses, PCA, QR factorization<\/td>\n6<\/td>\n<\/tr>\n
8<\/td>\nToeplitz and related systems<\/td>\n2<\/td>\n<\/tr>\n
\u00a0<\/td>\nTotal<\/strong><\/td>\n31<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

\u00a0<\/h2>\n

Grading<\/h2>\n
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In-class Quizzes: 20%
Midterm 1: Sep. 26, 2012, in class: 30%.
Final:\u00a0Nov. 24, 2012, 9am – 12pm: 50%<\/strong><\/p>\n

Notes:<\/p>\n