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
    5,142
    1,266
    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.
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