How to solve
A 2×2 matrix sends each point P to a new point P' = AP. Geometrically that can stretch, rotate, or reflect. The graph shows P (green) and P' (red).
Steps
- Read the matrix A and the original point P.
- Compute AP, or read the coordinates of the red tip P' on the graph.
Example
A = [[0,-1],[1,0]] (90° CCW) and P = (2, 0).
- AP = (0, 2).
- So P' = (0, 2).
Answer: 0 or 2 depending on which coordinate is asked
How to type answers
- Enter an integer coordinate
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