{"id":987495808,"date":"2024-10-29T14:28:45","date_gmt":"2024-10-29T08:58:45","guid":{"rendered":"https:\/\/testece.iisc.ac.in\/~cmurthy\/wordpress\/?page_id=987495808"},"modified":"2024-10-29T14:32:01","modified_gmt":"2024-10-29T09:02:01","slug":"e2-212-matrix-theory-7","status":"publish","type":"page","link":"https:\/\/ece.iisc.ac.in\/~cmurthy\/e2-212-matrix-theory-7\/","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, Room L1 in the Central Lecture Hall Complex (near the GATE office).
TAs<\/strong>: TBD.
TA Hours<\/strong>: TBD<\/p>\n

Textbooks:<\/strong>
1. Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
2. Strang, Linear Algebra and its Application, 3rd Ed., Harcourth Brace Jovanovich Pubs.
3. Horn and Johnson, Matrix Analysis, Cambridge University Press
4. Demmel, Applied Numerical Linear Algebra, 1st Ed., SIAM<\/p>\n<\/div>\n

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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>\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

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Grading<\/h2>\n
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Midterm 1: Sep. 15, 2010, in class: 25%. Solutions:\u00a0click here<\/a>.
Midterm 2: Oct. 27, 2010, in class: 25%. Solutions:\u00a0click here<\/a>.
Final: Dec. 01, 2010, 9.30am – 12.30pm: 50%
Note:\u00a0there will be no makeup exam.<\/strong><\/p>\n<\/div>\n

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Homeworks<\/h2>\n
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Homeworks are posted\u00a0here<\/a>.<\/p>\n<\/div>\n

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Announcements<\/h3>\n
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