
203Chapter 10: Taking the Next Steps
Now, let’s say, for example, we need to find the coordinates of the vector if
it were to rotate counterclockwise by 30 degrees. Thankfully, linear algebra
provides us with handy tools called rotation matrices, and a specific matrix
called the counterclockwise-rotation matrix can lend us a hand. Now, how
we determine this matrix is also very interesting, but going into the proof for
this matrix will have to wait for another time. For now, all we need to know is
that there is a 2 x 2 matrix that can help us figure out the new coordinates of
our vector if it were to rotate counterclockwise by an additional 30 ...