MATH 240 Midterm: MATH240 fall2009 M2 MATH232-solution

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

Question 1 [15pts] when we use homogeneous coordinates, we represent each point (x, y) in the plane by the vector x. 1: write down a 3 3 matrix m1 such that multiplying the homogeneous coordinate vector by m1 is equivalent to translating the point (x, y) 5 units to the right and 1 unit up. You do not need to justify your answer: write down a 3 3 matrix m2 such that multiplying the homogeneous coordinates vector by. M2 is equivalent to rotating the point (x, y) about the origin by /2 counter-clockwise. You do not need to justify your answer: in this step, justify all your answers. 0: rotating a vector about a point (5, 1) is the same as, translating it by ( 5, 1, rotating it about the origin (done by m2, translating it by (5, 1) (done by m1) The rst of these operations is done by.