Not easy List transformation

• To: mathgroup at smc.vnet.net
• Subject: [mg28554] Not easy List transformation
• From: guillerm at gugu.usal.es
• Date: Fri, 27 Apr 2001 03:56:08 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Dear group
I has a list as form that follow,where a_ii, b_ii and c_ii are numeric values

list = {{a11*E^(b11*(t - T) + c11*T) + a12*E^(b12*(t - T) + c12*T) +
a13*E^(b13*(t - T) + c13*T)}, {a21*E^(b21*(t - T) + c1*T) +
a22*E^(b22*(t - T) + c2*T) + a23*E^(b23*(t - T) + c23*T)}};

I want to make a Math function (I call ListTransform) to apply the below
transformation for each element of list

(a*(E^(b*t) - E^(c*t)))/(b - c)

To obtain a list as follow

listTransform[list1] =

{{(a11*(E^(b11*t) - E^(c11*t)))/(b11 - c11)+(a12*(E^(b12*t) - E^(c12*t)))/(b12 -
c12)}, {, ..., ...}}

My goald is apply this transformation to follow kind of operation

A2 = {{1.1, 2.2}, {3.1, 4.3}};

list2 = Expand[MatrixExp[A2*T] . {3/E^(2.3*t) + 4/E^(2.1*t), 0} /. t -> t - T]

listTransform[list2]

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```

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