Final Answer:
1. 90 degrees clockwise rotation: Matrix B
2. 180 degrees clockwise rotation: Matrix D
3. 270 degrees clockwise rotation: Matrix A
Step-by-step explanation:
Matrix A represents a 270 degrees clockwise rotation. The original vector matrix [=] undergoes a transformation by rotating 270 degrees in a clockwise direction, resulting in the arrangement shown in Matrix A.
Matrix B corresponds to a 90 degrees clockwise rotation. When the original vector matrix [=] is rotated 90 degrees in a clockwise direction, the resulting configuration matches Matrix B.
Matrix D showcases a 180 degrees clockwise rotation. By rotating the original vector matrix [=] 180 degrees in a clockwise direction, the arrangement depicted in Matrix D is obtained.
Each of these rotations alters the orientation of the vector matrix [=], resulting in distinct configurations that match the angles specified for each matrix.