> 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 ?).
I don't understand your notation. What is x1' ? t' ? Are your vectors to be thought of as column matrices? or what?