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matrix equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg101331] matrix equation
  • From: Haibo Min <yshdfeng at gmail.com>
  • Date: Wed, 1 Jul 2009 06:36:31 -0400 (EDT)

Hi, everyone.
Suppose T is a inversible matrix, and its elements are functions of t.
Consequently, we may denote this matrix as T[t], and its first and second
derivative is denoted as T'[t] and T''[t].
I want to solve a equation as follows:
(A+B)T+T'==(a+b)T+2T', (A+B)T'+aBT==aT'+(ab+b)T+T'';
where a,b are known constants, and A,B is what I want to get.
How to express it in matrix form and solve it?
Thanks in advance.



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