I have 3 points in a 3D space of which I know the exact locations. Suppose they are: (x0,y0,z0), (x1,y1,z1) and (x2,y2,z2).
(x0,y0,z0)
(x1,y1,z1)
(x2,y2,z2)
Al
I don't think there is enough information to find a definitive solution. Without knowing your camera location and without knowing your view plane, there is an infinite number of matrices that can solve this problem.