Hi,
I have the antisymmetric matrix
M:matrix([0,(u[1,2]-u[2,1])/2,(u[1,3]-u[3,1])/2],[(u[2,1]-u[1,2])/2,0,(u[2,3]-u[3,2])/2],[(u[3,1]-u[1,3])/2,(u[3,2]-u[2,3])/2,0])
I would like Maxima to reckon that, since the vector (Omg_1, Omg_2, Omg_3)
(how do I input a vector in Maxima?) has components
Omg_1 = u[3,2]-u[2,3]
Omg_2 = u[1,3]-u[3,1]
Omg_3 = u[2,1]-u[1,2]
then M has the expression
M:matrix([0,-Omg[3]/2,Omg[2]/2],[-Omg[3]/2,0,-Omg[1]/2],[-Omg[2]/2,Omg[3]/2,0])
Is this possible? Thanks,
Best Regards,
Andrea Panizza