Question

Let us consider a linear transformation :ℝ2→ℝ2 induced by the transformation matrix =(13−22) and another linear transformation :ℝ2→ℝ2 induced by the transformation matrix =(−113−2) . (i) Find the transformation matrix of the composite transformation ∘ . (ii) Find the transformation matrix of the composite transformation ∘ . (iii) Calculate (∘)(⃗ ) for ⃗ =(1−2) . (iv) Find the transformation matrix of the inverse transformation (∘)−1 . (v) Calculate (∘)−1(⃗ ) for ⃗ =(−87) .

Answer 1

The answer is number C. Transform for the linear affect has to involve the composite. So it’s C