Ðåøèòü ñèñòåìó ëèíåéíûõ àëãåáðàè÷åñêèõ óðàâíåíèé

âñåìè âîçìîæíûìè â ñðåäå Mathcad ñðåäñòâàìè: ôóíêöèÿ lsolve, áëîê Given-Find,

îïåðàòîðîì ñèìâîëüíîé ìàòåìàòèêè solve è (äîïîëíèòåëüíî) ñâåäåíèåì òðåõ óðàâíåíèé ê îäíîìó

è ðåøåíèåì åãî ñðåäñòâàìè ñèìâîëüíîé (êîìàíäû è îïåðàòîðû) ìàòåìàòèêè Mathcad.

 (íîìåð çàäàíèÿ - ýòî íîìåð ñòóäåíòà ïî æóðíàëó)

Âàðèàíò

ÑËÀÓ

Âàðèàíò

ÑËÀÓ

1

2,7x1+3,3x2+1,3x3=2,1;

3,5x1–1,7x2+2,8x3=1,7;

4,1x1+5,8x2–1,7x3=0,8

2

0,34x1+0,71x2+0,63x3=2,08;

0,71x1–0,65x2–0,18x3=0,17;

1,17x1–2,35x2+0,75x3=1,28

 

3

1,7x1+2,8x2+1,9x3=0,7;

2,1x1+3,4x2+1,8x3=1,1;

4,2x1–3,3x2+1,3x3=2,1

4

3,75x1–0,28x2+0,17x3=0,75;

2,11x1–0,11x2–0,12x3=1,11;

0,22x1–3,17x2+1,81x3=0,05

 

5

3,1x1+2,8x2+1,9x3=0,2;

1,9x1+3,1x2+2,1x3=2,1;

7,5x1+3,8x2+4,8x3=5,6

 

6

0,21x1–0,18x2+0,75x3=0,11;

0,13x1+0,75x2–0,11x3=2,00;

3,01x1–0,33x2+0,11x3=0,13

 

7

9,1x1+5,6x2+7,8x3=9,8;

3,8x1+5,1x2+2,8x3=6,7;

4,1x1+5,7x2+1,2x3=5,8

 

8

0,13x1–0,14x2–2,00x3=0,15;

0,75x1+0,18x2–0,77x3=0,11;

0,28x1–0,17x2+0,39x3=0,12

 

9

3,3x1+2,1x2+2,8x3=0,8;

4,1x1+3,7x2+4,8x3=5,7;

2,7x1+1,8x2+1,1x3=3,3

 

10

3,01x1–0,14x2–0,15x3=1,00;

1,11x1+0,13x2–0,75x3=0,13;

0,17x1–2,11x2+0,71x3=0,17

 

11

7,6x1+5,8x2+4,7x3=10,1;

3,8x1+4,1x2+2,7x3=9,7;

2,9x1+2,1x2+3,8x3=7,8

 

12

0,92x1–0,83x2+0,62x3=2,15;

0,24x1–0,54x2+0,43x3=0,62;

0,73x1–0,81x2–0,67x3=0,88

 

13

3,2x1–2,5x2+3,7x3=6,5;

0,5x1+0,34x2+1,7x3=-0,2

1,6x1+2,3x2–1,5x3=4,3

 

14

1,24x1–0,87x2–3,17x3=0,46;

2,11x1–0,45x2+1,44x3=1,50;

0,48x1+1,25x2–0,63x3=0,35

 

15

5,4x1–2,3x2+3,4x3=-3;

4,2x1+1,7x2–2,3x3=2,7;

3,4x1+2,4x2+7,4x3=1,9

 

16

0,64x1–0,83x2+4,2x3=2,23;

0,58x1–0,83x2+1,43x3=1,71;

0,86x1+0,77x2+0,88x3=–0,54

 

17

3,6x1+1,8x2–4,7x3=3,8;

2,7x1–3,6x2+1,9x3=0,4;

1,5x1+4,5x2+3,3x3=-1,6

 

18

0,32x1–0,42x2+0,85x3=1,32;

0,63x1–1,43x2–0,58x3=-0,44;

0,84x1–2,23x2–0,52x3=0,64

 

 

Âàðèàíò

ÑËÀÓ

Âàðèàíò

ÑËÀÓ

19

5,6x1+2,7x2–1,7x3=1,9;

3,4x1–3,6x2–6,7x3=-2,4;

0,8x1+1,3x2+3,7x3=1,2

 

20

0,73x1+1,24x2–0,38x3=0,58;

1,25x1+0,66x2–0,78x3=0,66;

0,75x1+1,22x2–0,83x3=0,92

 

21

2,7x1+0,9x2–1,5x3=3,5;

4,5x1–2,8x2+6,7x3=2,6;

5,1x1+3,7x2–1,4x3=-0,14

 

22

0,62x1–0,44x2–0,86x3=0,68;

0,83x1+0,42x2–0,56x3=1,24;

0,58x1–0,37x2–0,62x3=0,87

 

23

4,5x1–3,5x2+7,4x3=2,5;

3,1x1–0,6x2–2,3x3=-1,5;

0,8x1+7,4x2–0,5x3=6,4

 

24

1,26x1–2,34x2+1,17x3=3,14;

0,75x1+1,24x2–0,48x3=–1,17;

3,44x1–1,85x2+1,16x3=1,83

 

25

3,8x1+6,7x2–1,2õ3=5,2;

6,4x1+1,3x2–2,7x3=3,8;

2,4x1–4,5x2+3,5x3=–0,6

 

26

0,46x1+1,72x2+2,53x3=2,44;

1,53x1–2,32x2–1,83x3=2,83;

0,75x1+0,86x2+3,72x3=1,06

 

27

5,4x1–6,2x2–0,5x3=0,52;

3,4x1+2,3x2+0,8x3=-0,8;

2,4x1–1,1x2+3,8x3=1,8

 

28

2,47x1+0,65x2–1,88x3=1,24;

1,34x1+1,17x2+2,54x3=2,35;

0,86x1–1,73x2–1,08x3=3,15

 

29

7,8x1+5,3x2+4,8x3=1,8;

3,3x1+1,1x2+1,8x3=2,3;

4,5x1+3,3x2+2,8x3=3,4

 

30

4,24x1+2,73x2–1,55x3=1,87;

2,34x1+1,27x2+3,15x3=2,16;

3,05x1–1,05x2–0,63x3=–1,25

 

31

3,8x1+4,1x2–2,3x3=4,8;

2,1x1+3,9x2–5,8x3 = 3,3;

1,8x1+1,1x2–2,1x3=5,8

 

32

0,43x1+1,24x2–0,58x3=2,71;

0,74x1+0,83x2+1,17x3=1,26;

1,43x1 - 1,58x2+0,83x3=1,03

 

33

1,7x1–2,2x2+3,0x3=1,8;

2,1x1+1,9x2–2,3x3=2,8;

4,2x1+3,9x2–3,1x3=5,1

 

34

0,43x1+0,63x2+1,44x3=2,18;

1,64x1–0,83x2–2,45x3=1,84;

0,58x1+1,55x2+3,18x3=0,74

 

35

2,8x1+3,8x2–3,2x3=4,5;

2,5x1–2,8x2+3,3x3=7,1;

6,5x1–7,1x2+4,8x3=6,3

 

36

1,24x1+0,62x2–0,95x3=1,43;

2,15x1–1,18x2+0,57x3=2,43;

1,72x1–0,83x2+1,57x3=3,88

 

 

Âàðèàíò

ÑËÀÓ

Âàðèàíò

ÑËÀÓ

37

3,3x1+3,7x2+4,2x3=5,8;

2,7x1+2,3x2–2,9x3=6,1;

4,1x1+4,8x2–5,0x3=7,0

 

38

0,62x1+0,56õ2–0,43x3=1,16;

1,32x1–0,88x2+1,76x3=2,07;

0,73x1+1,42x2–0,34x3=2,18

 

39

7,1x1+6,8x2+6,1x3=7,0;

5,0x1+4,8x2+5,3x3=6,1;

8,2x1+7,8x2+7,1x3=5,8

 

40

1,06x1+0,34x2+1,26x3=1,17;

2,54x1–1,16x2+0,55x3=2,23;

1,34x1–0,47x2–0,83x3=3,26