Physics 201 Daily Exercises

Daily Assignment 2/1 (Due Thursday 2/3):

Please answer the following QUESTIONS:

Coordinate transforms, such as rotations, look like:

x' = x cos(θ) + y sin(θ)    

and    

y' = -x sin(θ) + y cos(θ) .

They can also be written in terms of (column) vectors and matrices.  We can write a single equation for both above equations in the form

X' = M X

where M is a matrix and X and X' are (column) vectors.

1. What is M?
2. What are X and X' respectively?

Answer in the form below, a short answer for each is fine. 
This report is due by 8:00 am Thursday morning.