I'm writing a paper for my math class that is due really soon, but there's one thing I can't explain in my paper that I need to: why can't matrices be raised to a fraction exponent? I know that it won't work, but I don't know why and cannot find the answer why.
Is it because the denominator of the fractional exponent technically becomes the index when finding the root of a matrix, and you can't take the root of a matrix?
I'm dealing with square matrices, and I know that you can take the square root. But is that the only root you can take?
I'm so lost here.
Thank you for any help.