Matrix Rotations
| -2 | -1 | 0 | 1 | 2 | 2 | 1 | 2 | 3 | 4 | 5 |
1 | 6 | 7 | 8 | 9 | 10 |
0 | 11 | 12 | 13 | 14 | 15 |
-1 | 16 | 17 | 18 | 19 | 20 |
-2 | 21 | 22 | 23 | 24 | 25 |
Identity - No Rotation
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 1 | 2 | 3 | 4 | 5 |
1 | 6 | 7 | 8 | 9 | 10 |
0 | 11 | 12 | 13 | 14 | 15 |
-1 | 16 | 17 | 18 | 19 | 20 |
-2 | 21 | 22 | 23 | 24 | 25 |
Rotate Matrix 90 degrees Counter Clockwise
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 5 | 10 | 15 | 20 | 25 |
1 | 4 | 9 | 14 | 19 | 24 |
0 | 3 | 8 | 13 | 18 | 23 |
-1 | 2 | 7 | 12 | 17 | 22 |
-2 | 1 | 6 | 11 | 16 | 21 |
Rotate Matrix 180 degrees Counter Clockwise
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 25 | 24 | 23 | 22 | 21 |
1 | 20 | 19 | 18 | 17 | 16 |
0 | 15 | 14 | 13 | 12 | 11 |
-1 | 10 | 9 | 8 | 7 | 6 |
-2 | 5 | 4 | 3 | 2 | 1 |
Rotate Matrix 270 degrees Counter Clockwise
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 21 | 16 | 11 | 6 | 1 |
1 | 22 | 17 | 12 | 7 | 2 |
0 | 23 | 18 | 13 | 8 | 3 |
-1 | 24 | 19 | 14 | 9 | 4 |
-2 | 25 | 20 | 15 | 10 | 5 |
Reflect Matrix About the X Axis
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 21 | 22 | 23 | 24 | 25 |
1 | 16 | 17 | 18 | 19 | 20 |
0 | 11 | 12 | 13 | 14 | 15 |
-1 | 6 | 7 | 8 | 9 | 10 |
-2 | 1 | 2 | 3 | 4 | 5 |
Reflect Matrix About the Y Axis
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 5 | 4 | 3 | 2 | 1 |
1 | 10 | 9 | 8 | 7 | 6 |
0 | 15 | 14 | 13 | 12 | 11 |
-1 | 20 | 19 | 18 | 17 | 16 |
-2 | 25 | 24 | 23 | 22 | 21 |
Reflect Matrix About the line x=y (up diagonal)
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 25 | 20 | 15 | 10 | 5 |
1 | 24 | 19 | 14 | 9 | 4 |
0 | 23 | 18 | 13 | 8 | 3 |
-1 | 22 | 17 | 12 | 7 | 2 |
-2 | 21 | 16 | 11 | 6 | 1 |
Reflect Matrix About the line x=-y (down diagonal)
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 1 | 6 | 11 | 16 | 21 |
1 | 2 | 7 | 12 | 17 | 22 |
0 | 3 | 8 | 13 | 18 | 23 |
-1 | 4 | 9 | 14 | 19 | 24 |
-2 | 5 | 10 | 15 | 20 | 25 |
Reflect Matrix About the Origin (0,0)
Transform Matrix:
| -2 | -1 | 0 | 1 | 2 | 2 | 25 | 24 | 23 | 22 | 21 |
1 | 20 | 19 | 18 | 17 | 16 |
0 | 15 | 14 | 13 | 12 | 11 |
-1 | 10 | 9 | 8 | 7 | 6 |
-2 | 5 | 4 | 3 | 2 | 1 |