If A, B are elements of Mat(n, R) and A is invertible, compute
The Attempt at a Solution
The derivative will be of the form
but I need to evaluate this at t=0, so how do I simplify the expression on the right hand side? Since d/dt is a linear operator do I just attack each term individually, that is, take a derivative of A with respect to t plus a derivative of tB with respect to t?
This really is hard notation for me to follow.