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

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

 

 

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

https://wustl.zoom.us/rec/share/s3V2dAzc_J3IZvg2Uve1XnhHArEmPQ6roW0u03-iU8V5xJPMF_9EaHqPGkyZOpko.xFfB_xAY8_-XC-JC

Wed Sep 23, Sec 2

https://wustl.zoom.us/rec/share/kNIuMqbb4I5NTPh2f-xQZDxv-qnHjrLZ4ENpe57qMryoX4T9Fg9djpDQH6zlJT-P.I49O2q7grbZmnYUD

Wed Sep 23, Sec 3

https://wustl.zoom.us/rec/share/4iAjv-mUW8pnPsJP5PblboOdt98SPFuRPIy-YQiWcrvAJAMF5NM5i19pFNOJHrMF._TkcI_SXJ4g3BKJa

Fri Sep 25, Sec 2

https://wustl.zoom.us/rec/share/w3s4l07VtJl5YQlVX7eAPXYXkJCMD-g4IFL-ExE3FzgFJ7o-7KxeAESopblF.YDBNtMuw-iAsN4yy

 

Fri Sep 25, Sec 3

https://wustl.zoom.us/rec/share/QWGYpI3cynFZ0KBZFKgnaT7ggs2Ehk27ASH7HXgo22JmXc4bWqttb4iLVNMzozTf.CdSy_PGxp9P-htrm

Mon Sep 28, Sec 2

https://wustl.zoom.us/rec/share/aAeeV_3HR43-QPgBOE4j-DVgZI-q1t13KtLxA3ByszTt3q-O6VdkR_ky5f5NQj7T.ayoqRHYJHrXWInIH

Mon Sep 28, Sec 3

https://wustl.zoom.us/rec/share/C5Z8m8ukkp0VZYCXVb7raZa0Yyonrh2IMbSxhXscruzmfEepy3RAm-qwY8XfJgKs.oGfPLduzxHQwIc6x

Fri Oct 2, Sec 2

https://wustl.zoom.us/rec/share/9bdNmTpV_vEZWlwMm-lB0l-nPZsTEqjJuXrYTmwqfFNhYoZf8XYLbRe-ATvtO9p7.AvkltCaCB2Kcyqwv

Fri Oct 2, Sec 3

https://wustl.zoom.us/rec/share/SL_bB3pXPIDqzFiLEtYpGZHAdi69eSaZhmoQapVo3RfVxq4AUu-EICab82dD9lAs.4EAMo4amrCD2HawC

Mon Oct 5, Sec 2

https://wustl.zoom.us/rec/share/iBN0AirfXy5kedpNaq3JEqRi5m-f824D6-J3TJYReuDNBLsmDObG9md_eX364cWs.afO4yYToODsPAe5U

Mon Oct 5, Sec 3

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Wed Oct 7, Sec 2

https://wustl.zoom.us/rec/share/FXLkE-u5Ip2qUR-1anLuQSUIv9K-yTEdWINdLARyAXMNsrG8nKNK_Pf6_a4Xd0Lm.eU_ZkpC7qT_KYlYM

Wed Oct 7. Sec 3

https://wustl.zoom.us/rec/share/wD4z7Zl59CV4-LwZhjZPIiw5ZxY187oQL5Fc1X7i7twBF5UqfHarvXTs6Ep8LaRJ.SXVjdyIjeoRSDMVF

Fri Oct 9, Sec 2

https://wustl.zoom.us/rec/share/964Tabx15YPcHy741IdCScE1lKMur8aUsFG53jLXD0lRiv9ZHTaA3wUj171RWKsN.AkDO3tqxbBsBknJK

Fri Oct 9, Sec 3

https://wustl.zoom.us/rec/share/Q7QezzEHphYbz0bIsdu4RIciKzCAS0DlrRR0yk-43TuaZEC4EzDm47jN1HxLQH5S.cciwUvwBzUFqR4Ng

Mon Oct 12, Sec 2

https://wustl.zoom.us/rec/share/cUpINHKujWTyBIa0AnGOwZbiMD7_UBwLmcN5kCky93iHjS1LpSc_-CIdGd1SbwYW.n4UUSjfDUT-JEDsh

Mon Oct 12, Sec 3

https://wustl.zoom.us/rec/share/kmQnlvMt7KO6d3uQVniCZVUSkIAUibbcZuhDcG5DW34z-odkV1nrq48wAiBZEOo6.6UFqCrWd_eKcs76S

Wed Oct 14, Sec 2

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

Wed Oct 14, Sec 3

https://wustl.zoom.us/rec/share/503PcP19gXlCLTKQ77GUL_ie74gQb95F8Gk3yiteAiBwqwGaFehLrRXJSgxKC0Y3.pfL8iDlCJsbS7fxo

Fri Oct 16, Sec 2

https://wustl.zoom.us/rec/share/9G7w6kagnTcQL-Fd4BKX3n0qldMRCyBRG6D-tR1kPJnUIrCtWHYbqcW9pA_HWLEM.y1FHuu43-gGAZ9TD

Fri Oct 16, Sec 13

https://wustl.zoom.us/rec/share/l5UDcvZ3Eul2JqsNIoxviF4kcB-1fbtQmq7f04TRzbY5ZtD8V_6PRqLwkABd0knU.7TyisKfetmNgAOhX

 

Mon Oct 19, Sec 2

https://wustl.zoom.us/rec/share/Vd2wurQfEGq-5zik_8LCRsH2S6z7UkPJTNtITmGco48r3sppjq1i9bQRZCdV0D5K.gyGLobR4Z0T_PJSo

Mon Oct 19, Sec 3

https://wustl.zoom.us/rec/share/9g2kbGgq2-DtfOzh0NtTC0yQvOPjtXcGbMY4iCUfpS7OMYh1iIbnNMYMomy9q6Ue.sjEZ-hHE3VbPK4nv

Wed Oct 21, Sec 2

https://wustl.zoom.us/rec/share/9FGFH0CO1rnxe7A-wETf_WRR2s06YQmZQs6m8X3FhSTd3H6CYSSXZpoacaAe35eF.wYfw6m2Fb-9jNrmd

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

https://wustl.zoom.us/rec/share/uLt-4mqHamubhQXf-ciowphGZkqfypoFnsKtW57Z6DUtXr1BbRGRS7xe-a5D6gHo.EgKmgJ1NBx3_8hNf

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

https://wustl.zoom.us/rec/share/Q542ND7KjnryVDkXvqsoSWo2z02idTkmEeWgQ5GVXg4zkzOZ7iMJgh0EHrkVml32.tpEbhi32FJdeylAu

Fri Oct 30, Sec 3

https://wustl.zoom.us/rec/share/F-BuKiuoS0ILUlzZUf-JxZhkdj7kVzLQI-1Uxtto6AzLJJoXuVj-3myGjOYPsnT_.gR3RQmJUdbPt0Qr8

Mon Nov 2, Sec 2

https://wustl.zoom.us/rec/share/4chc-OmhMuTLaCTv4vwMvUYzOP_tJQ-Xjf4OcmDuUHhehPzP1zYnMpt-dhyT74lW.lurKs3KoZc3NeS-4

Mon Nov 2, Sec 3

https://wustl.zoom.us/rec/share/hTKnO3sHWmADHecRP_J8oWfCzR02yrOC_uYwFMmGKMnxJmqQArosPqgqQ484_sVW.qwLJlh09XPZLjqK-

Wed Nov 4, Sec 2

https://wustl.zoom.us/rec/share/UtUSbouiHvVxi2NuOkdDb5eTdBSDeu9DDJ7hyagCCF6facpiQAaBUmN2sob3STe3.o66QSQaz2NbFFYz_

Wed Nov 4, Sec 3

https://wustl.zoom.us/rec/share/eOHRrihpr5Q3RR6PnCY2SBNhO9RE1BDaPt7jg_-Y0pgwJ7kybK_zWNsTl8SnFB5S.34_9Yclhe237DhQw

Fri Nov 6, Sec 2

https://wustl.zoom.us/rec/share/TDIrKCU3UPbvYj81rB5h14xNClXmtQNcDZTVEIrRO8pxp1AFq2T42X1BqPWKak7Z.mP7WjRbNEp2SZMBm

Fri Nov 6, Sec 3

https://wustl.zoom.us/rec/share/Vmi8E8UsZJpQh3ShdNfwqXxiZ8O_K3j6wk-YIOSkdFHpf2xbFWr3d0xpl9ziTxc7.SGjMYuKChrYDZzCw

Mon Nov 9, Sec 2

https://wustl.zoom.us/rec/share/136GeH-zMNA64i3gf2H8flYe5e34F2qDkJjFlkokfwzRToXo_E4z7GAUFTLlz-Bt.GCL6LqTo2n_9P9GH

Mon Nov 9, Sec 3

https://wustl.zoom.us/rec/share/DKsUAss3zVxoZ4Jqsq_RQgzEI6z3PsFCF-7oGLSajpB3QrGLsbjCO8UGfXP1amLD.wWAalx2cAI6bSJKP

Wed Nov 11, Sec 2

 

https://wustl.zoom.us/rec/share/b2x4WHhzzd6tbvU4HEoOYY4d0wiZfJjQ1j7Isv2efX7FvySl2-IexqacJ0PgqRnD.83n6QlQIlUteP85U

Wed Nov 11, Sec 3

https://wustl.zoom.us/rec/share/b-w7-8EZXWEWXke-ddwrZuYTqzS50Fv7Qzq5BB7hD4ciXlEDyPbRD-5QKQB9424L.JSoVwYwhpdFW23Zx

Fri Nov 13, Sec 2

https://wustl.zoom.us/rec/share/_5AwGfr3mO_J5rak2pOn7lb7VXeMZ9sCv2-WopO-9CqkvIEDHKZzpN4oLrTb3Y2l.8tr1hQKFOW0btRzP

Fri Nov 13, Sec 3

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Mon Nov 16, Sec 2

https://wustl.zoom.us/rec/share/rCvzOmMfeREqouT6REerh3wPE8v0GrP_RyoZeLKGjeuafmobh7f8AEHfVsXyug.emIF-WGkGHY2CgO1

Mon Nov 16, Sec 3

https://wustl.zoom.us/rec/share/Fj2BPfnwPuJZorDLOjosurLZNxBBPaqF3hak6rq8NZvUmqYUNWt-JvD_aS9-IRgT.RksncKncZ08TFcp_

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