<pedrocorreia.net ⁄>

<MIT Linear Algebra, Lecture 2: Elimination with Matrices ⁄ >

clicks: 3950 3950 2009-12-03 2009-12-03 goto ciencia myNews ciencia  Bookmark This Bookmark This

This is the second post in an article series about MIT's course "Linear Algebra". In this post I will review lecture two on solving systems of linear equations by elimination and back-substitution. The other topics in the lecture are elimination matrices and permutation matrices.

The first post covered the geometry of linear equations.

One of my blog readers, Seyed M. Mottaghinejad, had also watched this course and sent me his lecture notes. They are awesome. Grab them here: lecture notes by Seyed M. Mottaghinejad (includes .pdf, .tex and his document class).

Okay, here is the second lecture.

Lecture 2: Elimination with Matrices

Elimination is the way every software package solves equations. If the elimination succeeds it gets the answer. If the matrix A in Ax=b is a "good" matrix (we'll see what a good matrix is later) then the elimination will work and we'll get the answer in an efficient way. It's also always good to ask how can it fail. We'll see in this lecture how elimination decides if the matrix A is good or bad. After the elimination there is a step called back-substitution to complete the answer.

este é só um excerto do artigo, para aceder ao artigo completo, clique no link em baixo:
this is just a small excerpt from the article, to access the full article please click in the link below:


Subscribe News RSS  Subscribe News Updates by E-mail

myNews <myNews show="rand" cat="ciencia" ⁄>

NASA Unveils Their New Launch System

NASA Adminstrator Charlie Bolden and several members of Congress announced today the decision on NAS (...)

clicks: 6184 6184 2011-09-21 2011-09-21 goto url (new window) universetoday.c... goto myNews ciencia

Breakthrough Study Confirms Cause of Short Gamma-Ray Bursts

A new supercomputer simulation shows the collision of two neutron stars can naturally produce the ma (...)

clicks: 6285 6285 2011-04-18 2011-04-18 goto url (new window) nasa.gov/topics... goto myNews ciencia

NASA's Kepler Mission Helps Reveal the Inner Secrets of Giant Stars for the First Time

University of Sydney astrophysicists are behind a major breakthrough in the study of the senior citi (...)

clicks: 6236 6236 2011-04-09 2011-04-09 goto url (new window) nasa.gov/missio... goto myNews ciencia

Best Images from 2010

Here are some of the best space and astronomy images from 2010. These are in no particular order or (...)

clicks: 7954 7954 2011-01-01 2011-01-01 goto url (new window) universetoday.c... goto myNews ciencia

Voyager 1 Has Outdistanced the Solar Wind

The venerable Voyager spacecraft are truly going where no one has gone before. Voyager 1 has now rea (...)

clicks: 6605 6605 2010-12-25 2010-12-25 goto url (new window) universetoday.c... goto myNews ciencia

Food expiration dates: What do they really mean?

Are you one of those people who pour the milk down the drain on the expiration date? Expiration d (...)

clicks: 6490 6490 2010-09-16 2010-09-16 goto url (new window) green.yahoo.com... goto myNews ciencia

NASA - A Galactic Spectacle

A beautiful new image of two colliding galaxies has been released by NASA's Great Observatories. The (...)

clicks: 6450 6450 2010-08-21 2010-08-21 goto url (new window) nasa.gov/missio... goto myNews ciencia

Calculate distance, bearing and more between Latitude/Longitude points


clicks: 7783 7783 2010-08-12 2010-08-12 goto url (new window) movable-type.co... goto myNews ciencia