Hi,

I have the following function:
\(f(x) = e^{\underline{A}t}*\underline{A}^{-1}*\underline{A}*e^{\underline{A}T-t}\)
Where \(\underline{A}\) is A matrix.

Am I allowed to simplify \(\underline{A}^{-1}*\underline{A}\) to an identity matrix?

I know a matrix times its inverse is an identity matrix but I am worried about the order to do the calculations in and if it then still is allowed.

Cheers

 

If your function is exactly as you wrote it, then you can.

The inverse matrix of \(A\), \(A'\) is defined as:
\(A \cdot A'=A' \cdot A=I\)