First of all, I'm quite new to Maple and here, so I hope you will be patient with me..ehhehe.
I've been struggling some days creating abstract vectorial equations with no luck.
The equations have vectorial components as well as a matrix, it is the equation of motion, i.e:
Inertia * dw/dt + w x Inertia.w = T
Inertia is a matrix that I dont want to define now, and most of all I dont want to spread out its components, so it has to be all the time "Inertia".
w is a angular speed vector and T is the Torque vector.
Neither I want w to be defined or component separated (wx,wy,wz) at this point since I need to work with w for some change of coordinates .i.e w = w1 + ww1 . So I need to work in this abstract level.
I tried using the Physics:-Vector package, which seems very promising for abstract vectoring but I couldn't introduce matrices with the vector operations. Some idea why not?
Linalg package seems good too but it needs the vector and matrix definition (even with undefined members) and what happen is that at some point, it expands the operations displaying th three components of the vector, loosing the abstraction.
Does anyone have an idea how to work with matrices and vectors abstractly?
I hope I didn't say too many stupid things ;-)