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Discussing: 18.06 Linear Algebra, Fall 2002

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intern
On Feb 27, 2008tigerindia wrote:
I am a third year computer engineering student at delhi college of engineering,delhi,India and I am looking for summer internship.can anybody suggest me where to apply?
thanks in advance.

intern
On Feb 27, 2008tigerindia wrote:
I am a third year computer engineering student at delhi college of engineering,delhi,India and I am looking for summer internship.can anybody suggest me where to apply?

thanks in advance

Linear System of Equations with Constraints
On Jan 02, 2008limelight wrote:
I have been struggling with how to solve a linear set of equations that contain specific constraints.

For example, let's say I have the following equations:

0.30x + 0.60y + 0.40z = 0.47
0.53x + 0.22y + 0.35z = 0.23
0.26x + 0.18y + 0.24z = 0.25

The constraint, however is that x + y + z must = 1 and that x, y and z are all non-negative.

Obviously there is no exact solution, but I need to get as close a possible using these constraints.

Basically, what I am trying to do here is find the optimal mix of some given raw products in order to produce a final product. Each equation represents some attribute of the raw products and the desired amount of that attribute in the final product. The coefficients x, y and z represent the percentage of each product to use. Because of this the total percentage must sum to unity (x + y + z = 1) and it is impossible to use a negative amount of any given raw product (x >=0, y >=0, z >=0).

If anyone could point me in the right direction, I would really greatly appreciate it.

book
On Apr 30, 2007Bement wrote:
hello users I am student in college
I have planned to learn linear Alegebra on my own this summer but the book linear Algebra by gilbert strang is not availabe in our country so any one of you if you have soft copy of the book please contact me @bemga111@yahoo.com

book errata
On Apr 28, 2007lalala wrote:
Is there any errata list for the 3rd edition of Introduction to Linear Algebra by Gilbert Strang? I have noticed quite a few mistakes and wondered if anyone (perhaps the author?) is keeping a list of them.

If not, wouldn't it be a nice idea for the users of this forum to keep such a list?



Dot product of two linearly indep. matrices
On Mar 02, 2007sbraun wrote:
I am finding that the dot product of two linearly independent matrices is always the identity matrix. Can somebody tell me where to find a proof of this fact?

Thanks!

Higher order momets from Mean
On Feb 21, 2007irfan wrote:
Hi All
I am posting here this statistic problem because I cant find the anwser anywher. Please help me!!! in ,

First moment (mean) of a random variable 'Y' , E[Y] is given
How can we find the higher order moments E[Y^n]. n=2,3,4...
Y=f(X) is some complicated function of R.V X

Cubic equation - a true analysis required
On Jan 16, 2007sharma_utkarsh wrote:
I am not able to find inverse of a cubic equation ax3+bx2+cx+d=0; actually I need help in finding inverse of equations of order greater than 2.

Further, is there any specific method to find out roots of a cubic equation OR nth degree equations? I don't have any idea about it.I am not talikng about those equations which can be easily factorised NO NO NO.

(Take an example of - f(x) = 31x3+67x2+11x+13-969, find its roots and inverse)

In all I am skeing about ways to find out inverse + roots of a nth oprder equation(where n> = 3).Atleast answer me for a cubic equation.

If you have any problems with my question please email - utkarsh1989@gmail.com, you would be the first person who is daring to solve the problem.

PLEASE

OCW on your Phone
On Aug 30, 2006oopsatwork wrote:
For anyone geeky enough to have a use for this, I have written a script to convert the video lectures available on OCW to .3gp files that can be played on most mobile devices. The script can be found here:

http://mkimberlin.googlepages.com/ocw23gp

From the usage instructions:

---------

This script rips MIT OpenCourseWare ".rm" streams and encodes them as
".3gp" files for viewing on cell phones or other devices it is based
on the script found at:
http://www.rezsoft.org/3gp/
as well as the wiki entry at:
http://gentoo-wiki.com/HOWTO_Rip_Streams_With_MPlayer
and then modified to pull the ".rm" files from the MIT servers instead
of the akamai streams as described at:
http://ocw.mit.edu/OcwWeb/Global/OCWHelp/help.htm#26
You will need to follow the set up instructions from the first two of
those sites in order to use this script successfully. Please refer to
them before wasting your valuable time trying to run this right off... ;)
The script was originally conceived for use with the video lectures
provided at MIT's OpenCourseWare site:
http://ocw.mit.edu
It is however, in no way supported or distributed by MIT.
...(so don't bother them)...

usage: ./ocw23gp [ocw-rm-url] [output-name]

---------

I hope someone finds this useful...

-michael

re: Diagonalization of non-symmetric matrices
On Aug 23, 2006john_galt wrote:
Response to Victor: (see post below)

Thank you very much for your post.

Yes I have taken the course on Symmetry and Tensor properties of Materials.

I understand that these surfaces are quadratic and in books I see that most times the non-symmetric quadratic is symmetrized before they are diagonalized into their principal axes.

In that case every non-symmetric quadric seems to be represented by an ellipsoid (in the simple case of all positive eigenvalues).

So is there no unique way to repersent a non-symmetric quadric geometrically? Or does my question make sense at all? Because every non-symmtric matrix can be resolved into a symmetric and anti-symmetric part. The antisymmetric part will naturally have imaginary eigenvalues, So in what manner do these real and imaginary ellipsoids represent the non-symmetric tensor (quadric) geometrically?

Thanks again. I was on holiday hence the delay in reply.

Ravi Shivaraman

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