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Questions regarding MatrixExp, and its usage

• To: mathgroup at smc.vnet.net
• Subject: [mg63335] Questions regarding MatrixExp, and its usage
• From: "michael_chang86 at hotmail.com" <michael_chang86 at hotmail.com>
• Date: Sat, 24 Dec 2005 07:19:00 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

For any arbitrary (possibly complex-valued) square matrix A,
Mathematica enables the computation of the matrix exponential of A via

In[1]:  A={{ some square matrix}};
In[2]:  expA=MatrixExp[A];

I was therefore wondering if

MatrixExp[A p]==(MatrixExp[A]^p)

where 'p' is an arbitrary complex number, and the '^' operator is my
attempt to denote the matrix power, and *not* an element-by-element
power for each individual matrix entry.  Or does such an expression
only hold for real-valued square A matrices?  Or am I completely lost
here ...?

As usual, any and all help would be greatly appreciated!

Regards,

Michael

• Follow-Ups:
  • Re: Questions regarding MatrixExp, and its usage
    • From: Pratik Desai <pdesai1@umbc.edu>