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[SPAM] [obm-l] algebra linear
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- Subject: [SPAM] [obm-l] algebra linear
- From: "Olinto Araújo" <olintoba2@xxxxxxxxx>
- Date: Sat, 3 May 2008 11:16:45 -0300
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Dado o sistema de equacoes simultaneas representado por
Ax=3Db,
onde A \in Z^mxn, com posto igual a m, b \in Z^m, b^t =3D (b1,b2,...,bm) ,=
x
\in Rn, x^t =3D (x1,x2,...,xn),
A =3D (a_ij) , i =3D1,2,...,m, e j =3D 1,2,...n.
Se x^t =3D (x1,x2,...,xn) for uma solucao b=E1sica de Ax=3Db, demonstrar qu=
e para
todo
j : | x_j| <=3D m! alfa^m-1 beta, onde alfa =3D max_ij{|a_ij|} e beta =3D =
max_i
{|b_i|}
A diga =E9 usar Cramer.
Nao consegui.
Obrigado.
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Dado o sistema de equacoes simultaneas representado por<br><br> Ax=3Db=
, <br>onde A \in Z^mxn, com posto igual a m, b \in Z^m, b^t =3D (b1,b=
2,...,bm) , x \in Rn, x^t =3D (x1,x2,...,xn), <br>A =3D (a_ij) , i =3D1,2,.=
..,m, e j =3D 1,2,...n. <br>
<br>Se x^t =3D (x1,x2,...,xn) for uma solucao b=E1sica de Ax=3Db, demonstra=
r que para todo <br>j : | x_j| <=3D m! alfa^m-1 beta, onde alfa =
=3D max_ij{|a_ij|} e beta =3D max_i {|b_i|}<br><br>A diga =E9 usar Cramer.<=
br><br>Nao consegui.<br>
<br>Obrigado.<br>
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