# identity matrix

Discussion in 'Math' started by kokkie_d, Nov 18, 2011.

1. ### kokkie_d Thread Starter Active Member

Jan 12, 2009
72
0
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

2. ### Georacer Moderator

Nov 25, 2009
5,151
1,268
If your function is exactly as you wrote it, then you can.

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

kokkie_d likes this.