21-241 Matrix Algebra


Homework #5:

Exercises: Due Friday, October 7

Section 2.3:  7, 14, 18, 19, 22, 28, 33
Section 2.7:  2, 5, 7, 14, 17, 18
Problem A: Refer to the triangle in Exercise 2.7.2. Suppose you wish to rotate this triangle 60 degrees with respect to the point (6,8). Draw a sketch which shows the initial position of the triangle, and illustrates approximately where the triangle would end up after this transformation. (You do not need to try and guess the coordinates of the new vertices -- just illustrate their approximate positions.) Then use the matrix you found in Exercise 2.7.7 to perform this rotation. This will give you the new vertices. Finally, draw another sketch which illustrates the transformation.