To rotate a point 90 degrees clockwise around the origin, you can use the transformation:
\[ (x, y) \rightarrow (y, -x) \]
For the point A (4, 1):
- Identify the coordinates: \(x = 4\) and \(y = 1\).
- Apply the transformation:
- New x-coordinate: \(y = 1\)
- New y-coordinate: \(-x = -4\)
Thus, after a 90-degree clockwise rotation, point A (4, 1) transforms to (1, -4).
So the coordinates of point A after the rotation are:
\[ (1, -4) \]