Let \(A\) be a complex \(n\times n\) matrix satisfying \(A^{37}=I\). Show that \(A\) is diagonalizable.
Complex matrices with $A^{37}=I$ are diagonalizable
P-BKS19-7A
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 2019
- Status
- draft
P-BKS19-7A
Let \(A\) be a complex \(n\times n\) matrix satisfying \(A^{37}=I\). Show that \(A\) is diagonalizable.