- 7 2 1 For Each Of The Following Linear Transformations L R2 R2 Find A Matrix Representative And Then Describe Its Eff 1 (73.29 KiB) Viewed 40 times
PART C and F ONLY
PART C and F ONLY
7.2.1. For each of the following linear transformations L:R2→R2, find a matrix representative, and then describe its effect on (i) the x-axis; (ii) the unit square S={0≤x,y≤1};( iii ) the unit disk D={x2+y2≤1}: (a) counterclockwise rotation by 45∘;(b) rotation by 180∘;(c) reflection in the line y≡2x; (d) shear along the y-axis of magnitude 2;(e) shear along the line x=y of magnitude 3 ; (f) orthogonal projection on the line y=2x.