{"id":987495695,"date":"2024-10-29T12:33:31","date_gmt":"2024-10-29T07:03:31","guid":{"rendered":"https:\/\/testece.iisc.ac.in\/~cmurthy\/wordpress\/?page_id=987495695"},"modified":"2024-10-29T12:36:08","modified_gmt":"2024-10-29T07:06:08","slug":"e2-212-matrix-theory-5","status":"publish","type":"page","link":"https:\/\/ece.iisc.ac.in\/~cmurthy\/e2-212-matrix-theory-5\/","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

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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>:\u00a0Pratosh A. P.<\/a><\/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
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\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>\nVector spaces, matrices, determinant, rank, etc<\/td>\n4<\/td>\n<\/tr>\n
2<\/td>\nNorms, error analysis in linear systems<\/td>\n4<\/td>\n<\/tr>\n
3<\/td>\nEigenvalues and eigenvectors<\/td>\n3<\/td>\n<\/tr>\n
4<\/td>\nCanonical, symmetric and Hermitian forms, matrix factorizations<\/td>\n6<\/td>\n<\/tr>\n
5<\/td>\nVariational characterizations, the quadratic form<\/td>\n4<\/td>\n<\/tr>\n
6<\/td>\nLocation and perturbation of eigenvectors<\/td>\n4<\/td>\n<\/tr>\n
7<\/td>\nLeast-squares problems, generalized inverses<\/td>\n4<\/td>\n<\/tr>\n
8<\/td>\nMiscellaneous topics<\/td>\n3<\/td>\n<\/tr>\n
\u00a0<\/td>\nTotal<\/strong><\/td>\n32<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

\u00a0<\/h2>\n

Grading<\/h2>\n
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Homeworks\/in-class quizzes: 20%
Midterm 1: Sep. 23, 2013, in class: 30%. Here is last year’s\u00a0midterm<\/a>.
Final:\u00a0Dec. 05, 2013, 9.30am – 12.30pm, EC1.08: 50%<\/strong>. Question paper\u00a0here<\/a>.<\/p>\n

Notes:<\/p>\n