b=0 is not the only solution here, rather can b be any integer multiple of pi.
In Mathcad's solution a could be any complex value, but IMO we have to exclude integer miltiples of pi/2 which would make one of the denominators to zero.
So the solutions for X are either k*j*2*pi (including X=0) and (2k+1)*j*pi, where k is any integer.
We can also use
or
and try to encypher Mathcad's case distinctions.
@Loi Le: Please don't put a solve block in a program structure - that can't work.
Playing around with the equation, thinking that exp(X) could also be a 2x2 matrix (exp([2x2] vectorized) I came across this evaluation:
Whats the definition of exp([2x2]-matrix)? What is implemented here?
It will only work with base e (see above), base 0 (-->0) and base 1 (-->identity matrix), not any other base and it will also not work (with numbers) using numerical evaluation.
