- #1
- 322
- 68
Starting from the definition of a matrix exponential as a power series, how would we show that ##(e^A)^n=e^{nA}##?
I know how to show that if A and B commute then ##e^Ae^B = e^{A+B}## and from this we can show that the first identity is true for integer values of n, but how can we show it’s true for any real value of n?
I know how to show that if A and B commute then ##e^Ae^B = e^{A+B}## and from this we can show that the first identity is true for integer values of n, but how can we show it’s true for any real value of n?