How would a person go about doing the following in the simplest way possible?:

 

[matrix1] ^ [matrix2] = [matrix3] ?

 

Thank you.

a) What does "doing" mean?

b) is that really a homework question?

c) [math] \exp X := 1 + \sum_{n=1}^\infty \frac{X^n}{n!}[/math] is sometimes extended to X being matrices; and so is the logarithm. You could hope that the common calculation rules for exponentials, powers, and logarithms still hold true for matrices (or check the ones you need individually).

Edited July 25, 201114 yr by timo