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. , ,(*-)0, .

, . (3.5) () , ,;. / ( ), /- ( ). , (-1)", - .

3.53.

.

3 4 4 7

= -20.

, 3.52 ( ).

~, .

". :

-- =

... \

...

... 2

--- .

"

:

OllJCll +012X21+ ...-fOin, = 1,

02 ixi I + 02221 + .. + 02: I = , aix\ 1 + a2X2i + - -. + axi =0.

OllX2 + Ol2X22+...+OX2 = 0, O2IX12 + O22X22 + .- .+ 02X2=l,

0 1X12 +02X2J + . -. + 0X2 = 0.

o,iXi+ai2X2 + ...+oix = 0,

O21X + 022X2 + ... -f 02X = 0,

o ix I +a2X2 +,.. + ox = 1.

(«)

. , § 4.1. , «» .

3.54.

IS PRIHTOEPAUJEHUE 2*2

2 INPUT- 112 /

25 INPUT h21..h22 CjD

30 LETE=C*B: LETF=A5 LETE=ri«F-E! LETA=ri.--E

40 1 !=>: LETC=-C-E: LETB=-B-E

50 PRINT

60 PRINT . SPRINT - ENB

. 7 8 4 5

- =

1,66666667 - 2,666666667 -1,333333333 2,333333333

3.55.

. 4 8 0 8 8 8 2 1

- =

0,083333 - 0,083333 0.66666 0,083333 0,041666 -0,33333 - 0,16666 0,16666 - 0,33333

( 5 ). 3.56.

, 3.55.

Cij=aij±b,j,

= 1, 2, m / = 1, 2, . ,7 - . 3.57. 05 PRINT-01 10 INPUT 15 BIM .;)/<..)</) 20 FOR 1=1 MiFOR J=l N 30 PRINT!2,0! AIrJ 40 INPUT H<I..J):NEXT J:NEXT I 50 FOR 1=1 TO MS FOR .J=l TO N 60 PR I NT BI.-J 65 INPUT BajJ> ?0 LETC<bJ)=A<bJ>+Ba,J> 88 NEXT JSHEXT

.

= 2, n = 3

I 2 3

7 8 9

8 10 11

4 5 6

8 7 6

12 12 12

A mXn /

SMt I (Oftfc.v). 1 = 1

/=1, 2, ..., / k=\, 2, .... m. -



10 PRIHT- <3,3>

15 AlbA12.A13 < 1/1£5Atl..3>

2 A2bA2£A£3 ;£/1 ;2/2) <2.-3>

£5 31/3£/33 .-1.2:))

.30 FOR. ,=1 3

35 LETA=A*;£ 1 !. 1 >:LETB=-A

40 letc=A<2£)-A*A<b2)!LETri=A«L2..3)-A-*Aa/3>

50 LET = < 1 > :>: LET <. 2f 3 )=-

60 21>=<3/2:5-<12)

?0 LET 2r 2 ) = < 3.- 3 ) -* < 1 3 )

88 LETA;3y 1 )=; If2)-A< 1)

90 LETA«l3/2>=ACb3)AaT 15

180 LETA<:3j3)=l-Aa/l)!LETA<bl)=c

lie LETA<l7 2)=ri.LETAa/3>=B:NEXT ,

120 PRINT

130 .PRINT <)<12.7 3)

140 PRINT AC2rl)..A*L2..2)fAi;2/3)

158 PRINT A<3.. 1)..<2)/;>!

3-56.

05 PRINT 10 PRINTc 15 1 N=N!liIM A<NtN)j-P<N)N)

20 bim b«lN))C<:n.-n)).g<n),x<n)

25 for 1=1 TO nsfor J=l TO N

30 PRINT12.0! IrJ=s INPUT ACbJ) 35 LETPCbJ>=A<bJ)sNEXT JsNEXT I 40 FOR J2=l TO nsfor 1=1 TO N 50 LETB<I)=@sNEXT I 60 LETB<J2)=1

70 FOR J3=l TO NSFOR J4=l TO N

80 LETA<J3/J4>=P<J3fJ4)!NEXT J4SNEXT J3

85 GOSUB 100!FOR 1=1 TO N

90 PRINT!2.0XI.-J2=!F1.9!Xa)

95 NEXT I!NEXT J2SST0P

180 LETNl=N-ls FOR K=l TO N1

110 IF ABS<A<KrK))>8 GOTO 280

120 LETKl=K+lsFOR M=K1 TON

130 IF ABS<A<M.»K,>>>0 goto 150

140 GOTO 165

150 FOR L=l TO N!LETU=A<K/l)sLETA<KrL)=A<MTL)

160 LETA Mr L > =U!NEXT L s NEXT M

170 LETU=B < )s LETB < )=B < M)!LETB < M)=U

200 LET9 < )=B <)A< )s LETK1=K+1

210 FOR I=K1 TO N!LETBa>=B<I>-A<bK)*6«LK)

220 FOR J1=K TO N!LETJ=N-Jl+K!LETC<Kf J)=A«LKrJ).A<K/K>

225 LETA<Ij J)=A<Ir J)-A<bK)»iC<K,r J)

230 NEXT JlsNEXT Is NEXT

240 LETM=Ns LETX< M)=B<M)A <M >

250 LETM=M-1:L.ETS=0SFOR L=M TO N1

260 LETS=S+c<MrL+l)*X<L+l)!NEXT L

270 letx<:m>=g<:m)-ssif m>i goto 250

280 return:enb . .

3.58.

10 PRINT N-*l

20 INPUT MfNrLMrNrL

30 bim A<MrN)/B<NrL)rC«LN/L)

40 FOR 1=1 TO M:F0R J=1 TO N

50 PRINT!2.8! AIfJ:INPUT A<IrJ>

68 NEXT JSNEXT I

70 FOR 1=1 TO NSFOR J=l TO L

80 PRINT I, Js INPUT B<I..J>

90 NEXT JSNEXT I

108 FOR K=l TO MsFOR .J=l TO LsLETS=8

110 FOR 1=1 TO NsLETS=S+A<k>I)i«B<b JJsNEXT I

120 LETC<KrJ>=SsNEXT JsNEXT

138 PRINT

140 FOR K,=l TO MSFOR J=l TO L

150 PRINT!2.0!cK:fJ=!F1.9!c<K,, J)

160 NEXT JSNEXT KSEND



3.58.

. -1 2 3

= 4, = 5, / = 3

j 2 3 4 5

6 7 8 9! 2 3 4 5 6

7 8 9 ! 2

15 30 45 31 62 93 20 40 81 27 54 »t

,.....

1 2 3 I 2 3 I 2 3 I 2 3.

R== ,,,!

=1, 2, .... . £.={ U2, Vm\-

= ={ 02, oj ={ bi.....b]

1 = 1

/= L 2, .

.

§ 3.6.

1

,n! = n-(n-l)-(n-2)-...- 2-1 (3.6)

! = I (, ! FX-702P>. , (3.6).

3.S9.

05 1

10 IUT N=N

20 LET 1=0! LET =1

38 LET 1=1+1LET =*.1

40 IF KN THEN 30

50 PRINT N!=P

70 90T0 10! END

5!= 120, 1! = 362880.

-70 rtpe- (!> ).

-- [iO, 36].

!

!1 =

( -2)-...-1 , ( -2)-...-2 .

3.60.

. 7!! = 105, 8!! = 384. . Є = !, -

/4" = ftV(n -).. m

љ = !/((-)!),- >1 1<<. 3.61.

. m = 5 / = I rfo-

Pi = 3628800, ?=30240 ? = 252.

. , .

3.60.

85 PR N!!

18 INPUT N=N!LETft=N2!LETB=l

15 FOR 1=1 10

20 IF A-INT<A>=0 THEN 68

30 FOR 1=1 TO N STEP 2

48 =1!NEXT I

50 GOTO 80

60 FOR J=2 TO N STEP £ 70 LETB=B*J!NbXT J 80 PRINT N!!=B 98 GOTO 10!END

3.61.

18 PRINT 1 ,-

28 PRINT N

38 INPUT / NrM

40 LETX=N!GOBUB 100!LETP=R

50 LETX=N-M! GOSUB 188! =.-

60 LETX=M!GOSUB 100sLETC=ftR

76 PRINT PN=P

80 A M.tN=A

90 PRINT MrN=C!STCP

100 LETR=1EF0R I=X TO 1 STEP -1

110 LETR=R*l!NEXT isRETURNsEND



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