🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →

HomeClass Notes1,200,000CA670,000

MATH 1ZC3 Lecture 4: 1.5 Elementary Matrix

40 views7 pages

plumcockroach206

20 Feb 2019

School

McMaster University

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

I bydoing t. amtt a matrix obtained. f one elementaryrow operation eg let a if 7. If e is obtainedfrom i byperformingsomeelementaryrowoperation theea thatelementarymatrixtimesa isthematrixobtainedby performingthatsame rowoperationona performing 2 stepsof operation. Everydime. kaymatrixisinvertible anditsinverseisalsoelementary peeve eg if eisobtainedfroma boyinterchangingtworows on. 4 thefollowingare equivalent eitherall the or all false cataisinvertible. Ai p hasonlythetrivialsolution c thereduced row echelonformof it is i d a canbewittenas a product ofelementary matrices e ai d isconsistent for everyml b f a i for. Assumethereduced echelonform of it is i row operation canbe performed onit togeti yimplies startfromai keepdoingeri keepmultiplyingby elementanymatries. Entc et e ei a enizomit n i eze a en t. Eze a en i ea 1 per mattersiaddingatfront. A e ei ent proof id heinertofdeneneeymatrices isalsoelementarymatri a. A ii 9 if 211 0 5 to then nxn matrixis invertible. Es o go. pe similarly l eze a i ti. Step2 figureoutwhatarethe elementaymatrixsy e n y same process. 5 l"s 9 them ato 9 i"s 91.

Related textbook solutions

Calculus

ISBN: 9781319050733

Single Variable Calculus: Early Transcendentals

4th Edition, 2018

ISBN: 9781337687805

CALCULUS:EARLY TRANSCENDENTALS

ISBN: 9781319050740

Related Documents

MATH1002 Lecture Notes - Lecture 9: Elementary Matrix, Invertible Matrix, Augmented Matrix

sangriawallaby698

MATH 415 Study Guide - Final Guide: Row Echelon Form, Lu Decomposition, Khan Academy

cerisehamster618

ENGG1811 Lecture Notes - Lecture 4: Continuously Variable Transmission, Triple J, Icq

Related Questions

be parametric esjuations for a tb) C i v i) C intersects esactly one e ine containing the point -1.3. intersects the xy and ntion voctor to find another esqua ne line with the Korm 17) Let C be the line the ine eontaining the point a) Give parametric ejuastions for c (b) Write an equation for C in on vector to find another equa for the same 18. Let C be the line deterimined by the tt (a) Provide a vector b) Give parametricequations fore c 19. Let C be the line determined by the the points where the line + bt.to t et) eplanes. Ia-0, esplain (a) Provide a vector (b) Write an equation for C in s, determine wbether the the distance between the c. 20. We wish to find the distance from C as shown in the figure that fo dinates of points P and Pa, but we do dinates of point Q (a) Ifyuknew the measure of angle Î¸ llows Wek sect, find the point of intent know th- t.5-3,6+7. weould find the distance from point P to lanes r2()3-,4+3t,5-2 Applications ne. Explain why the vation in Washington State. She tonic wastes in one of the tank tank farm is huge, and she d is leaking. Worse yet, the tank g the tanks would req tank farm, an operation that Instead, Emmy has wells dug the tank farm, to try to trace the earth's surface is conside the bottom of the tank farm the distance is given in f taminated groundwater at (1033, 247,-55). If the w of one of the tanks and i what is the location of th the line does not ow you can distance from point P to line C even if you do ne know the measure of angle Î¸. line containing use the tech- ization for the 24. P023.5), ds(23.5) 25,Pi-1, 3, 7. d = (2,0,4) the leak? eyuivalent.6. Ptbc 53. lan is climbing Mountl He has made a secon mountain. He does n 27, P3, 1), d= (2 5) 28, p(1.3,-2, 4), d= (4,-1,5, 8) In Exercises 29-34, find an equation of the line containing the Proofs ntaning the given pair of points. Express your answer (a) as a vector p ess your an- rametrization, (b) in terms of parametric equations,and ( n 54. Let Ci and C be line symmetric form. 29. P(O,0,0), Q(4,-1,6) and P2 and Qa poin C2 if and only if P â¢P(3,-1,7), Q(5,8,-2)