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KA?H1aĒʂT`35;aR& Ma`ɵ%Í‹ i t3q)X11AoE(6VkCm|(mXtoHfnj_jBP~nb22pwc JC#3Hc8 fF0wX&p/Ir]pw`P wp{P/A幠N Ʊ;v+KRs@`Pdk-υÌՇ}L`!,2 .\cz@  xcdd`` @c112BYL%bpuX!9ȢAcΒ9HǭůĸY@Zdn>@LȺx8IOkq^9gpM?-vhs?j(^-^WěFrVpx_@p,h8 L!<} ( $ P NEXTNEXTNEXTPREVPREVPREVPREVNEXTCEquation Equation.30,Microsoft Equation 3.0DEquation Equation.30,Microsoft Equation 3.0EEquation Equation.30,Microsoft Equation 3.0FEquation Equation.30,Microsoft Equation 3.0GEquation Equation.30,Microsoft Equation 3.0\Diapositiva 60&263,6,Diapositiva 6\Diapositiva 50&265,5,Diapositiva 5\Diapositiva 50&265,5,Diapositiva 5NEXTuZEquation Equation.30,Microsoft Equation 3.0w[Equation Equation.30,Microsoft Equation 3.0y\Equation Equation.30,Microsoft Equation 3.0}]Equation Equation.30,Microsoft Equation 3.0^Equation Equation.30,Microsoft Equation 3.08_Equation Equation.30,Microsoft Equation 3.09`Equation Equation.30,Microsoft Equation 3.0aEquation Equation.30,Microsoft Equation 3.0bEquation Equation.30,Microsoft Equation 3.0cEquation Equation.30,Microsoft Equation 3.0dEquation Equation.30,Microsoft Equation 3.0>eEquation Equation.30,Microsoft Equation 3.0?fEquation Equation.30,Microsoft Equation 3.0gEquation Equation.30,Microsoft Equation 3.0\Diapositiva 80&264,8,Diapositiva 8\Diapositiva 70&263,7,Diapositiva 7\Diapositiva 70&263,7,Diapositiva 7hEquation Equation.30,Microsoft Equation 3.0PREV8NEXT0-1,-1,NEXTPREVkEquation Equation.30,Microsoft Equation 3.0/ 0LDArialܖ 0ܖ0ttl<  0"@ . @n?" dd@  @@`` bc 7  X 2   21   5 5  Z&^ _/2$K___PPT9 ?f$ RProf. Antonio Scarvaglieri - A.S. 2005/06O  ={& SISTEMA DI EQUAZIONIwSi dice che due o pi equazioni costituiscono un sistema di equazioni quando di esse si ricercano le soluzioni comuni. 4x13! i  zDeterminato, se ha un numero finito di soluzioni; Indeterminato se ha infinite soluzioni; Impossibile se non ha soluzioni;`{ '  j Si dimostra che un sistema lineare, con due equazioni e due incognite, quando determinato, ammette un unica soluzione! 4z(5  /%   0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴` 33` 33` f33` 33>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>>  (    6ܑ   `}   `,Fare clic per modificare lo stile del titolo- -9  0   `   uFare clic per modificare gli stili del testo dello schema Secondo livello Terzo livello Quarto livello Quinto livello: v  0  ^ `   >*  0  ^    F*   0Х  ^ `   @*H  0޽h ? 3380___PPT10.M *Struttura predefinita 0 h-(  h h 00  P     P*   h 0       R*  d h c $ ?   9 h 0X   0   uFare clic per modificare gli stili del testo dello schema Secondo livello Terzo livello Quarto livello Quinto livello: v h 6\  _P    P*   h 6   _    R*  H h 0޽h ? 3380___PPT10.` ]j; 0L0 :2h(  hx h c $    x h c $ t4     h 0    ( 2 h 0 ,@ 0 0 ZContinua %* 2 3f$3fH h 0޽h ? 33___PPT10i.nM+D='  = @B ++ 0L0 &  @ 6 (  .   0h ,l$   0 0 0 ZContinua %* 2 3f$3f ! 0,@ 0 0 n% Precedente: 2$ $N - 0p4g Per indicare che due o pi equazioni fanno parte di un sistema (ossia di esse si vogliono ricercare le soluzioni comuni) si scrivono incolonnate all interno di una parentesi graffa posta alla loro sinistra.6 2@7X / 0F@ ,$ 0 QAd esempio, con la scrittura  2 00 NA u? ?}E] + H u$D 0 0 2 0TJ g4 ,$ 0 hsi specifica di dover ricercare solo le soluzioni comuni alle due equazioni che fanno parte del sistema.i 2i) 3 0NV  ,$  0 ]N.B. Singolarmente le due equazioni hanno infinite soluzioni, ma una sola comune ad entrambi!^ 2^" 4 N))?) ,$D  0 5 00 @,$ 0 gClicca per continuare 2 6 0d)  ,$ 0 gClicca per continuare 2H  0޽h ? 33!___PPT10.I+FD}' !d= @B D8' = @BA?%,( < +O%,( < +D,' =%(%(D' =%(D\' =A@BB BB0B%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*5D' =1:Bvisible*o3>+B#style.visibility<*5%(D' =-g6B fade*<3<*5D ' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*/%(D' =-g6B fade*<3<*/D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-g6B fade*<3<*0D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*2%(D' =-g6B fade*<3<*2D' =%(pD\' =A@BB BB0B%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*6D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =-g6B fade*<3<*6Dl ' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*3%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*3D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*3D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*4D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* +P+0+ 0 ++0+/0 ++0+20 ++0+30 ++0+50 ++0+60 +R 0L0 h`W,(  ,.  , 0\,l$  0 0 0 ZContinua %* 2 3f$3f , 0Ò,@ 0 0 n% Precedente: 2$ $ D, 0g b,La prima equazione ha le seguenti soluzioni:- 2- E, c $A w??"`48 w$@  0 F, c $A y??"`48 y$@  0 G, c $A }??"`4m8 }$@  0 H, c $A ??"`4\8 $@  0 I, c $A 8??"`<8 8$@  0 J, c $A 9??"`2<{8 9$D  0 K, c $A ??"`5= 8 $@   0 L, c $A ??"` 5|c 8 $@   0 M, c $A ??"`w 59 8 $@   0 N, c $A ??"`f 5( 8 $@   0 O, c $A >??"`  8 >$@   0 P, c $A ???"` T 8 ?$D  0 Q, 0P,$ 0 HLa seconda invece: 22 S, 0m,$@ 02 T, 0[ j= ,$D 0B U, s *D `,$@ 0B V, s *D ,$@ 0 W, 0 %  ,$D 0 N una soluzione comune! (2H , 0޽h ? 33BB___PPT10B.@v+mDA' % = @B DA' = @BA?%,( < +O%,( < +D@' =%(%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*E,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*E,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*E,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*F,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*F,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*F,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*G,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*G,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*G,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*H,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*H,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*H,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*I,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*I,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*I,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*J,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*J,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*J,D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Q,%(D' =-g6B fade*<3<*Q,D' =%( D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*K,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*K,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*K,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*L,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*L,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*M,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*M,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*M,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*N,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*N,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*N,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*O,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*O,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*O,D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*P,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*P,D' =%( D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*S,%(D' =-g6B fade*<3<*S,D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*T,%(D' =-g6B fade*<3<*T,D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*U,%(D' =-g6B fade*<3<*U,D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*V,%(D' =-g6B fade*<3<*V,D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*W,%(D' =-g6B fade*<3<*W,D#' =%(XD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* ,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* ,D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* ,++0+ ,0 ++0+Q,0 ++0+W,0 + 0L0  14(  4 $4 0 ,@ 0 0 ZContinua %* 2 3f$3f %4 0 ,@ 0 0 n% Precedente: 2$ $ .4 0&% g Gquindi il sistema 2 /40 TA ? ?W   %  14 0p  g  @ha per soluzione la coppia ordinata (2, 3) (ossia x = 2 e y = 3)*A 2+H 4 0޽h ? 33___PPT10i. )+D=' d= @B + 0L0 k c ` (  ` ` 0g l6Quale, tra quelle proposte, la soluzione del sistema7 27  ` 0,@ 0 0 n% Precedente: 2$ $& `0  `A ? ?"`v "   dA ` s *A ? ?"`EZ1x dA ` s *A ? ?"`m x dA ` s *A ? ?"`v {b x dA ` s *A ? ?"` l x dA ` 0^ @ 0 0 ` 0  @ 0 0 ` 0  L @ 0 0 ` 0   @ 0 0 ` 0  ,@ 0 0 ZContinua %* 2 3f$3fa ` 6Yd } g ,$D 0 iProvare a sostituire, per ogni coppia di numeri, il primo valore alle x del sistema ed il secondo alle y BjF  ` 0`6dF ] S ,$ 0 D Suggerimento 2 H ` 0޽h ?` 33___PPT10.)R+I 7D' d= @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-g6B fade*<3<*`D' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-g6B fade*<3<*`+p+0+`0 ++0+`0 +  0L0  x(  x x c $ , `   T Un sistema di equazioni si dice:!!x x c $  `     x0 <A ? ?c  l     x 0 S 6:  ~$Il seguente sistema indeterminato:>% 2 v" x N))? x 0P; ,@ 0 0 ZContinua %* 2 3f$3f  x 0 ,@ 0 0 n% Precedente: 2$ $  x 0:  7S  ?cio ammette infinite soluzioni. Provare a determinarne alcune!@ 2@<H x 0޽h ? 33___PPT10i.+D=' d= @B +  0L0  |(  | | c $X P  <$  0   : | 0 ,l$  0 0 0 fChiudi %: 23f$3f$3f | 0̀ ,@ 0 0 n% Precedente: 2$ $  | 6 U   ,$ 0  uguale al prodotto dei gradi delle equazioni che fanno parte del sistema. Quando il sistema di 1 grado si dice anche che esso lineare. T "Y"  | N))?  ,$D  0 | s *A ? ? 8 $D 0 |  f% GH$))? "`  ,$D 0 = di 6 grado | 0W% U'-u QGRADO DI UN SISTEMA"(2 H | 0޽h ?| 33___PPT10.+[RD' % = @B Dh' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-g6B fade*<3<* |D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-g6B fade*<3<*|D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-g6B fade*<3<*|D' =%(pD' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* |D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* |D#' =%(dD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*|D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*|D#' =%(XD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*|D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*|++0+|0 ++0+|0 ++0+ |0 ++0+|0 +H 0L0 G?`X(  X X 0 L @ERRATO ! (2  X < % -F @ 0 0 CRITORNA AL TESTH X 0޽h ? 33___PPT10i.+D=' d= @B +H 0L0 G?\(  \ \ 0 L @ESATTO ! 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Diapositiva 8Diapositiva 9 Caratteri utilizzatiModello strutturaServer OLE incorporatiTitoli diapositive  8@ _PID_HLINKSAl -1,-1,NEXT -1,-1,NEXT -1,-1,NEXT -1,-1,PREV -1,-1,PREV -1,-1,PREV -1,-1,PREV -1,-1,NEXT263,6,Diapositiva 6265,5,Diapositiva 5265,5,Diapositiva 5 -1,-1,NEXT264,8,Diapositiva 8263,7,Diapositiva 7263,7,Diapositiva 7 -1,-1,PREV -1,-1,NEXT -1,-1,PREV,_4U0Antonio ScarvaglieriAntonio Scarvaglieri  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root EntrydO)PicturesCurrent UserSummaryInformation(PowerPoint Document( XUDocumentSummaryInformation8