Rotating a two-dimensional coordinate system using linear algebra

[zheng89120]

Homework Statement

What is involved in rotating a two-dimensional [x,y] system into a new [x',y'] system.

Homework Equations

Linear algebra equations

The Attempt at a Solution

not sure, need to review Linear algebra

 

[kuruman]

Yes, you do need to review linear algebra. However, since you asked, what is involved is a rotation matrix. See, for example
http://en.wikipedia.org/wiki/Rotation_matrix