Let _ R2 be a line through the origin. a. Give a geometric argument that reflection across _, the function R_ : R2 R2, is a linear transformation. (Hint: Consider the right triangles formed by x and x_, y and y_, and x + y and x_ + y_.) b. Give a geometric argument that projection onto _, the function P_ : R2 R2, is a linear transformation.

Kaite Kirk COMS/HNRS 101 Informative Speech When deciding what topic to inform the class about, I examined all of my hobbies and passions, then narrowed it down even further by ﬁguring out which topics from my list would be interesting to the class. Since my trip to Italy over the summer was so inspiring and transformational, I hoped that this passion would translate...