- #1
Pushoam
- 962
- 52
Homework Statement
Homework Equations
The Attempt at a Solution
[/B]
Det( ## e^A ## ) = ## e^{(trace A)} ##
## trace(A) = trace( SAS^{-1}) = 0 ## as trace is similiarity invariant.
Det( ## e^A ## ) = 1
The answer is option (a).
Is this correct?
But in the question, it is not given that S AS-1 is a similarity matrix of A. I assumed it without checking.
So, should I check it by calculating eigen values of both S and ## SAS^{-1}## and their eigen vectors?