Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: non linear system, 6 unknowns, 6 equations (quadratic)
Replies: 5   Last Post: Jun 17, 2012 12:43 PM

 Messages: [ Previous | Next ]
 sci.math Posts: 2 Registered: 9/20/11
non linear system, 6 unknowns, 6 equations (quadratic)
Posted: Jun 13, 2012 6:52 AM

Hi,

x1, x2, x3 are fixed vectors of R^3
a=(a1,a2,a3) and t=(t1,t2,t3) are two unknown vectors of R^3
I is the 3,3 identity matrix

Solve this system (the matrices in parenthesis are symmetric: only 6 eqns.):
a1(x1*x1'-x1*t'-t*x1')+a2(x2*x2'-x2*t'-t*x2')+a3(x3*x3'-x3*t'-t*x3')=I

Before trying to solve that numerically,
any analytical result would be great
(e.g., is there at least one solution ?).

Thank you!

Michel.

Date Subject Author
6/13/12 sci.math
6/13/12 AMX
6/15/12 Peter Spellucci
6/15/12 Robert H. Lewis
6/16/12 Rainer von Seggern
6/17/12 Robert H. Lewis