Matrix Transformations, Operators, Projection, Reflection, Rotation, Shear - Linear Algebra

could you show how to find the transformation matrix using vector methodology from perfifocal coordinate system pqw to rsw no other coordinate system should be included hint it is equivalent 97107

Let an affine transformation be given by a 2 ×2 matrix M and a two-dimensional vector b. Let 𝐯=c1 𝐯1 c2 𝐯2 c3 𝐯3, where c1 c2 c3=1; let 𝐰=M 𝐯 𝐛; and let 𝐰i=M 𝐯i 𝐛 for i=1,2,3. Show that 𝐰=c1 𝐰1 c2 𝐰2 c3 𝐰3. (This shows that an affine transformation maps a convex combination of vectors to the same convex combination of the images of the vectors.) | Numerade

Gilgamesh - Vector Transformation