Reading: Sections 3.5-7, 7.1-3
Problems: Section 3.8: 27, 28, 29
Section 7.9: 6, 7, 16 (i,ii)
Hint for Section 7.9: Three problems on this homework have something to do with reflections. Even though we have not covered those in class, I have decided to keep these problems on the homework. One advantage for you is that this way you will get a chance to practice with reflections and get those problems graded and returned to you before the Midterm Exam. And all you need to know to solve these problems is the formula U(X) = X - 2(<A,X> - c)A for a reflection U in a line given by a special normal form <A,X> - c = 0. This formula, written in a matrix form, i.e., when you pass to coordinates, will be a matrix formula for the reflection.