Re: matrix equation

• To: mathgroup at smc.vnet.net
• Subject: [mg101578] Re: matrix equation
• From: Haibo Min <yshdfeng at gmail.com>
• Date: Fri, 10 Jul 2009 06:47:56 -0400 (EDT)
• References: <h2fe6u\$ptv\$1@smc.vnet.net> <4A54B377.4030000@metrohm.com>

```Daniel, thank you for your suggestion!

Best regards,

Haibo

On Wed, Jul 8, 2009 at 10:55 PM, dh <dh at metrohm.com> wrote:

>
> Hi Haibo,
> here is a simpler example that shows the essentials.
> Daniel
> =================================================
> f[t_] := {{t , t^2}, {t^2, 3 t}};
> eq = {f[t] == a[t] .f'[t], a[0] == {{0, 0}, {0, 0}}};
> y = a /. NDSolve[eq, a, {t, 0, 0.5}][[1]];
> Plot[y[t], {t, 0, .5}]
> =================================================
>
> Haibo Min wrote:
>
>> 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?