Recent content by CasinelliG

Yes, that's exactly the case. Now the book also says that g is nondegenerate if g(v, w) = 0 for all w in V implies v = 0 (in which V is an arbitrary vector space of dimension n ≥ 1). How does this correlate to the existence of the inverse matrix?

Hi, I have a bilinear form defined as g : ℝnxℝn->ℝ by g(v,w) = v1w1 + v2w2 + ... + vn-1wn-1 - vnwn I have to show that g is an inner product, so I checked that is bilinear and symmetric, but how to show that it's nondegenerate too?

You have to keep in mind all the components of your system. For example, if the mass of your rocket decreases with time and you're keeping into account only that mass, you must use: ƩF = m*dv/dt + dm/dt*v, if you're considering the system to be formed of the rocket plus the consumed fuel, than...