Calculator for the rotation of a 3x3 matrix around the Z axis
To perform the calculation, enter the rotation angle. Then click the button 'Calculate'
The unit of measurement for the angle can be switched between degrees or radians
The active rotation (rotate object) or the passive rotation (rotate coordinates) can be calculated

The matrix rotation distinguishes between active and passive rotation.
With active rotation, the vector or the object is rotated in the coordinate system. The active rotation is also called a geometric transformation. The rotation is counterclockwise.
Example of a 90 ° rotation of the Zaxis
With passive rotation, the coordinate system is rotated. The vector remains unchanged. The rotation is clockwise.
Example of a 90 ° rotation of the Zaxis
