The matrix which describes the rotation of x and y-axis through an angle θ about the origin is given by :

Correct option is A

Given:
We are asked to find the matrix that describes the rotation of the x and y axes through an angle θ about the origin.
Concept used :
A 2D rotation matrix rotates points in the Cartesian plane counter-clockwise by an angle θ about the origin.

Formula used:
The standard 2D rotation matrix is:
R(θ) =
[ cosθ -sinθ ]
[ sinθ cosθ ]

Solution:
Comparing the given options with the standard rotation matrix:
​$$\quad \begin{bmatrix}\cos\theta & -\sin\theta \\\sin\theta & \cos\theta\end{bmatrix} \\[8pt]$$​
Option (a) matches the standard rotation matrix exactly.
Correct answer is (a).