Calculate e^At where A is a matrix (top: -11, -5) and bottom (60,40)
Can someone tell me the definition of this stuff

Question

Calculate e^At where A is a matrix (top: -11, -5) and bottom (60,40)
Can someone tell me the definition of this stuff

anonymous · Answer

$$A = \left[\begin{matrix}-11 & -5  \ 60 & 4\end{matrix}\right] $$

anonymous · Answer

Have you heard of Matrix exponential before?

anonymous · Answer

yes. I know how to diagonalize a matrix

anonymous · Answer

Then what's the problem here?

anonymous · Answer

I don't know why we have to study that stuff and what is the link between stochastic matrix and this.

anonymous · Answer

to find the steady state??

anonymous · Answer

Do you know how to solve this though?

anonymous · Answer

no

anonymous · Answer

my pro give me the whole thing, but I need more information about this stuff to search about this, study without understanding about what am I doing is really hard to remember

anonymous · Answer

my pro just gives me how to solve it in short cut, no definition, no reason, no back ground and so on

anonymous · Answer

Anyway, I feel this website may help: http://www.math.utah.edu/~gustafso/2250matrixexponential.pdf Look for the Matrix exponential identities for e^At. I think it will help.

anonymous · Answer

thanks a lot