Write down `2xx2` matrix A which corresponds to a counterclockwise rotation of `60^(@)` about tha origin. In the diagram OB of `2sqrt2` units in lenth. The square is rotated counterclockwise about O through `60^(@)` find the coordiates of the vertices of the square after rotating.

Explanation

To solve the problem of finding the coordinates of the vertices of a square after a counterclockwise rotation of \(60^\circ\) about the origin, we will follow these steps:

### Step 1: Define the rotation matrix
The rotation matrix \(A\) for a counterclockwise rotation by an angle \(\theta\) is given by:
\[
A = \begin{pmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta
...