7.2.1. For each of the following linear transformations L:R2→R2, find a matrix representative, and then describe its eff
Posted: Tue Jul 12, 2022 12:45 pm
PART C and F ONLY
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.
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.