       Re: Equal and operation with list

• To: mathgroup at smc.vnet.net
• Subject: [mg29531] Re: [mg29491] Equal and operation with list
• From: Tomas Garza <tgarza01 at prodigy.net.mx>
• Date: Sat, 23 Jun 2001 01:47:16 -0400 (EDT)
• References: <200106220620.CAA24439@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```I think you can proceed like this:

In:=
Clear[y, b, x];
y = {y1, y2};
b = {{b11, b12}, {b21, b22}};
x = {x1, x2};

In:=
y == Dot[b,x]
Out=
{y1, y2} == {b11 x1 + b12 x2, b21 x1 + b22 x2}

This is already a system of equations. For example,

In:=
Solve[y == a, x]
Out=
{{x1 -> -((-b22*y1 + b12*y2)/(-b12*b21 + b11*b22)),
x2 -> -((-b21*y1 + b11*y2)/(b12*b21 - b11*b22))}}

Tomas Garza
Mexico City

----- Original Message -----
From: "Guillermo Sanchez" <guillerm at gugu.usal.es>
To: mathgroup at smc.vnet.net
Subject: [mg29531] [mg29491] Equal and operation with list

> I  have tree list:
>
> Y = {y1, y2}
> B = {{b11,b12} , {b21, b22}}
> X = {X1, X2}
>
> I wish transform its in a system of equations like this:
>
> {y1== b11 X1 + b12 X2, y2== b21 X1 + b22 X2}
>
> I have test with Y == Dot[B,X] but don`t work. Any help?. Thanks
>

```

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