- #1
mahrap
- 37
- 0
1. Find A, a 2x2 matrix, where [itex]A^{1001}=I_{2}[/itex]2. I know that that if [itex]A^{2}=I_{2}[/itex], then A is either a reflection or a rotation by π.
3. If I use advantage of that fact that A in [itex]A^{2}=I_{2}[/itex] is a rotation by π then I know that [itex]A^{1001}=I_{2}[/itex] is true when A is a rotation by [itex]2π/1001[/itex]
Is there any other way to do this problem or is it only solvable by considering the fact that A is a rotation. Can you do it by considering A to be a reflection?
3. If I use advantage of that fact that A in [itex]A^{2}=I_{2}[/itex] is a rotation by π then I know that [itex]A^{1001}=I_{2}[/itex] is true when A is a rotation by [itex]2π/1001[/itex]
Is there any other way to do this problem or is it only solvable by considering the fact that A is a rotation. Can you do it by considering A to be a reflection?