Algebra, zadanie nr 6003
ostatnie wiadomości | regulamin | latex
| Autor | Zadanie / Rozwiązanie |
| monikson postów: 10 |  2019-03-29 12:08:10 |
| chiacynt postów: 749 | 2019-03-30 11:51:38 Octave >> clear >> A=[1,2,-1,3;3,-2,0,1;3,1,-2,3;2,-1,1,2] A = 1 2 -1 3 3 -2 0 1 3 1 -2 3 2 -1 1 2 >> a=[A,eye(4)] a = 1 2 -1 3 1 0 0 0 3 -2 0 1 0 1 0 0 3 1 -2 3 0 0 1 0 2 -1 1 2 0 0 0 1 >> a(1,:)=a(1,:)/a(1,1) a = 1 2 -1 3 1 0 0 0 3 -2 0 1 0 1 0 0 3 1 -2 3 0 0 1 0 2 -1 1 2 0 0 0 1 >> for i = 2:4 a(i,:)=a(i,:)-a(i,1)*a(1,:);end;a a = 1 2 -1 3 1 0 0 0 0 -8 3 -8 -3 1 0 0 0 -5 1 -6 -3 0 1 0 0 -5 3 -4 -2 0 0 1 >> a(2,:)=a(2,:)/a(2,2);a a = 1.00000 2.00000 -1.00000 3.00000 1.00000 0.00000 0.00000 0.00000 -0.00000 1.00000 -0.37500 1.00000 0.37500 -0.12500 -0.00000 -0.00000 0.00000 -5.00000 1.00000 -6.00000 -3.00000 0.00000 1.00000 0.00000 0.00000 -5.00000 3.00000 -4.00000 -2.00000 0.00000 0.00000 1.00000 >> for i=1:4; if i~=2, a(i,:)=a(i,:)-a(i,2)*a(2,:);end; end;a a = 1.00000 0.00000 -0.25000 1.00000 0.25000 0.25000 0.00000 0.00000 -0.00000 1.00000 -0.37500 1.00000 0.37500 -0.12500 -0.00000 -0.00000 0.00000 0.00000 -0.87500 -1.00000 -1.12500 -0.62500 1.00000 0.00000 0.00000 0.00000 1.12500 1.00000 -0.12500 -0.62500 0.00000 1.00000 >> a(3,:)=a(3,:)/a(3,3) a = 1.00000 0.00000 -0.25000 1.00000 0.25000 0.25000 0.00000 0.00000 -0.00000 1.00000 -0.37500 1.00000 0.37500 -0.12500 -0.00000 -0.00000 -0.00000 -0.00000 1.00000 1.14286 1.28571 0.71429 -1.14286 -0.00000 0.00000 0.00000 1.12500 1.00000 -0.12500 -0.62500 0.00000 1.00000 >> for i = 1:4; if i~=3,a(i,:)=a(i,:)-a(i,3)*a(3,:);end; end;a a = 1.00000 0.00000 0.00000 1.28571 0.57143 0.42857 -0.28571 0.00000 -0.00000 1.00000 0.00000 1.42857 0.85714 0.14286 -0.42857 -0.00000 -0.00000 -0.00000 1.00000 1.14286 1.28571 0.71429 -1.14286 -0.00000 0.00000 0.00000 0.00000 -0.28571 -1.57143 -1.42857 1.28571 1.00000 >> a(4,:)=a(4,:)/a(4,4) a = 1.00000 0.00000 0.00000 1.28571 0.57143 0.42857 -0.28571 0.00000 0.00000 1.00000 0.00000 1.42857 0.85714 0.14286 -0.42857 0.00000 -0.00000 -0.00000 1.00000 1.14286 1.28571 0.71429 -1.14286 -0.00000 -0.00000 -0.00000 -0.00000 1.00000 5.50000 5.00000 -4.50000 -3.50000 >> for i =1:4; if i~= 4,a(i,:)=a(i,:)-a(i,4)*a(4,:);end; end;a a = 1.00000 0.00000 0.00000 0.00000 -6.50000 -6.00000 5.50000 4.50000 0.00000 1.00000 0.00000 0.00000 -7.00000 -7.00000 6.00000 5.00000 0.00000 0.00000 1.00000 0.00000 -5.00000 -5.00000 4.00000 4.00000 -0.00000 -0.00000 -0.00000 1.00000 5.50000 5.00000 -4.50000 -3.50000 >> A_odwr = a(:,5:8) A_odwr = -6.5000 -6.0000 5.5000 4.5000 -7.0000 -7.0000 6.0000 5.0000 -5.0000 -5.0000 4.0000 4.0000 5.5000 5.0000 -4.5000 -3.5000 Sprawdzenie: >> A*A_odwr ans = 1.00000 0.00000 0.00000 0.00000 0.00000 1.00000 0.00000 -0.00000 -0.00000 0.00000 1.00000 -0.00000 0.00000 0.00000 0.00000 1.00000 |
| strony: 1 | |
Prawo do pisania przysługuje tylko zalogowanym użytkownikom. Zaloguj się lub zarejestruj