Math 309
Matrix Algebra

Mohan Kumar

 

NEWS:

QUICK LINKS:

VIDEOS:

Syllabus

Topics. Theory of matrices and vector spaces from a concrete, computational point of view. Topics include row reduction (pivotal method), rank and dimension, determinants, eigenvalues and eigenvectors, diagonalization of symmetric matrices. Some related computational computer software may be used.

Prerequisites. Math 132

Time. Classes meet Mondays, Wednesdays, and Friday, in Mallinckrodt 305. Section 2 meets from 12 to 12.50 pm and section 3  from 1 to 1.50pm. The class room can only accommodate 24 students and thus the overflow will have to take the classes remotely, which will be live-streamed.

Text. The lectures will follow Lay, Linear Algebra and its Applications, fifth edition, Pearson, 2016.

Homework. Assignments will be posted online on WeBWorK. Expect two or three short assigments per week. Access this site via Canvas using your WUSTLConnect ID, under the "Assignments" heading for this course.

Quizzes. Short hand-graded tests will be assigned for every two weeks of material. These will be available and should be completed on CrowdMark.

 

Quiz assignments:


 

Tests. These will be take-home, administered on CrowdMark. There will be two midterm  after the review dates, most probably during the weekend after. There will be a cumulative final examination that will emphasize later course material. It will be due by 11:01 pm on Monday, January 4th, 2021.

Grading. One grade will be assigned for homework (3 lowest scores dropped), one for the quizzes (best 6 of 7 scores), one for the midterm examination, and one for the final examination. These three will contribute as follows to the course grade: HW 50%, Quizzes 30%, Midterm 10%, Final 10%.
Letter grades, computed from the course score, will be at least the following:

Course score at least:

90%

80%

70%

50%

Letter grade at least:

A

B

C

D


Students taking the Cr/NCr or P/F options will need a grade of D or better to pass.
Students auditing the course will need to show evidence of attending least 36 of the 42 lectures in order to receive a succesful audit grade.

 

 

Computing. Students are encouraged to use computers for both symbolic and numerical computations.

Octave and MATLAB are two very similar computer applications for matrix algebra calculations. They use the same language and perform the same functions.

Octave is free, open source software. Installers for various computers are at these URLs:

Any recent version will do.

Any recent version of MATLAB may also be used. Wash U students have access to MATLAB at this portal.

Office Hours. These will be on Zoom,  Tuesdays 2-4 pm and if there is more demand, we will try to extend this.

 

Some calculations

Sections 1.1,1.2

sec 1.3,1.4

Week of Sep 21

Week of Sep 28

Week of Oct 5

Week of Oct 12

Week of Oct 19

Week of Oct 26

Sample answers to Midterm 1

Week of Nov 2

Week of Nov 9

Zoom Recordings

Wed Sep 16, sec 2

https://wustl.zoom.us/rec/share/tyLK7PtAiPCnp3wUAhnHagCkfCXdKMBJFGgnM-AvhLhayMpTejLSK4sZ8vDpyEwT.xTGl_W3QlQM5ltmK


Mon Sep 14, sec 2

https://wustl.zoom.us/rec/share/MVe3Z4DHkdCfnldrbAYpu0JoGejOP43BC7k4Jc1DGc0uqkwPGtMOB8tWZa5EoNpu.oTrIC5DGMFEsVh4R

 

Wed Sep, 16, sec 3


https://wustl.zoom.us/rec/share/sPped_fuLetnel0qLTmSapOmIS5eAWEqRlnj-F43nezsOy7kN2IZkb7mxScs1x4L.35XQ36ktA4ztuGEx

Mon Sep 14 sec 3

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Fri Sep 16, sec 2

https://wustl.zoom.us/rec/share/SsCkjDamu9jck8g5vGIWMltJ_85YJaNO5qNd3YYj7p1OyNtwD0A3OdGMdiRVgXYi.DKszZ2ZrGPXL4I5i

 

Fri Sep 16. Sec 3

https://wustl.zoom.us/rec/share/kpQ7xUgzDk-4X5MbT8m8CoieYftvfZHezIq-bBYrXs8Px7wr1DBYOiVV6bTUHJB7.R6-CzwpzUkkrmh1S

Mon Sep 21, Sec 2

https://wustl.zoom.us/rec/share/iN-le1rpeSYLQKUfkma5d0F4gFhnbP10gMUiW1KifgPHpQCoMxulxhQpw5YMSsKZ.0WShl2uvIAda529S

https://wustl.zoom.us/rec/share/31MlPR0ucJFLak6vFBnMWHrkuIW7CZwTcWLdLBQ7gJPa9P-JzcXKi2EesbclkC3A.-SbMYajCRjNYHRzi

Mon Sep 21, Sec 3

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Wed Sep 23, Sec 2

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Wed Sep 23, Sec 3

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Fri Sep 25, Sec 2

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Fri Sep 25, Sec 3

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Mon Sep 28, Sec 2

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Mon Sep 28, Sec 3

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Fri Oct 2, Sec 2

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Fri Oct 2, Sec 3

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Mon Oct 5, Sec 2

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Mon Oct 5, Sec 3

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Wed Oct 7, Sec 2

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Wed Oct 7. Sec 3

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Fri Oct 9, Sec 2

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Fri Oct 9, Sec 3

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Mon Oct 12, Sec 2

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Mon Oct 12, Sec 3

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Wed Oct 14, Sec 2

https://wustl.zoom.us/rec/share/JjBQtx4NXjbVKZRYLeNl9i66R7VotB8EnzThnROiqQ_kemspCffI72wTH6t3ZRki.FACaiGScY4ecdbxx

Wed Oct 14, Sec 3

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Fri Oct 16, Sec 2

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Fri Oct 16, Sec 13

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Mon Oct 19, Sec 2

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Mon Oct 19, Sec 3

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Wed Oct 21, Sec 2

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Wed Oct 21, Sec 3

https://wustl.zoom.us/rec/share/4SynC3CRPzKID2b37zN8sKJgTlBXE7MdeQAwSDJNzqaX8SuJEpAujjo3PBfNoTs.czk4aUuI2xwNOlwK

Fri Oct 23, Sec 2

https://wustl.zoom.us/rec/share/cPrH_EbwUVFLIHIoZTkX5RLoEKNBTF2eWAGqgmOZTSkuDQ4UQ_f-LgLqble5hUy1.yUZjpFPemZRmuLWz

Fri Oct 23, Sec 3

https://wustl.zoom.us/rec/share/DgfSMTBP8H4ZoV7r3-UU0xZytrR8bjbEQk86Vvt5jFjewyt635HEliseI7H8CWiB.WeQjat_Qyq5w0-ke

Mon Oct 26, Sec 2

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Mon Oct 26, Sec 3

https://wustl.zoom.us/rec/share/UQiLwfz7IjkclEZyVC_KCJ8Pb2rRIZL_GV4fCWsMioPqHpp4vACNm_O5agum1WHf.fDQrRtVX6Kb2b5jr

Wed Oct 28, Sec 2

https://wustl.zoom.us/rec/share/rePtZlqEO0o52BKu3DihuPkPNc3GEHjxcfdyjXSghY2ZFOZGQ_NoA-kmGzX8zfGT.axQzlH65yiSDgt6Q

Wed Oct 28, Sec 3

https://wustl.zoom.us/rec/share/p12yn_9fMyZp84VrTjnCmEXrS3JultQ8tZ0reb4ThRQVK1X_BVUCyqBqSlYJdxI.ILv7shDiR0bXn-O1

Fri Oct 30, Sec 2

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Fri Oct 30, Sec 3

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Mon Nov 2, Sec 2

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Mon Nov 2, Sec 3

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Wed Nov 4, Sec 2

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Wed Nov 4, Sec 3

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Fri Nov 6, Sec 2

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Fri Nov 6, Sec 3

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Mon Nov 9, Sec 2

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Mon Nov 9, Sec 3

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Wed Nov 11, Sec 2

 

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Wed Nov 11, Sec 3

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Fri Nov 13, Sec 2

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Fri Nov 13, Sec 3

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Mon Nov 16, Sec 2

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Mon Nov 16, Sec 3

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Wed Nov 18, Sec 2

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Wed Nov 18, Sec 3

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Fri Nov 20, Sec 2

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Fri Nov 20, Sec 3

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Mon Nov 23, Sec 2

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Mon Nov 23, Sec 3

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Wed Nov 25, Sec 3

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Mon Nov 30, Sec 2

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Mon Nov 30, Sec 3

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Wed Dec 2, Sec 2

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Wed Dec 2, sec 3

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Fri Dec 4, Sec 2

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Fri Dec 4, Sec 3

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Mon Dec 7, Sec 2

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Mon Dec 7. Sec 3

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Wed Dec 9, Sec 3

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Wed Dec 9, Sec 3

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Fri Dec 11, Sec 2

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Fri Dec 11, Sec 3

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Mon Dec 14, Sec 2

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Mon Dec 14, Sec 3

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Wed Dec 16, Sec 2

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Wed Dec 16, Sec 3

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Questions? Return to Mohan Kumar's homepage for contact information.