In: Advanced Math
1. Let (A, B, C, D) and (A1, B1, C1, D1) be two non-degenerate quadrilateral. Explain why there is exactly one projective transformation that maps one to the other.
5. Classify the conic x 2−4xy+4y 2−6x−8y+5 = 0. Determine its center/vertex, its axis and its eccentricity.