Текстовый процессор Microsoft Word. Освоение основных приёмов создания и редактирования документа в редакторе Word, страница 12

3.Системы линейных уравнений

Решить систему линейных уравнений с помощью обратной матрицы. Для этого предварительно сформировать в соответствии с заданием (таблица 8) матрицу коэффициентов и вектор-столбец свободных членов.

Решить систему уравнений с помощью функции lsolve.

Таблица 8

Системы линейных уравнений

N

Система уравнений

N

Система уравнений

1

4.4 x1-2.5 x2+19.2 x3-10.8 x4=4.3

5.5 x1-9.3 x2-14.2 x3+13.2 x4=6.8

7.1 x1-11.5 x2-5.3 x3+6.7 x4=-1.8

14.2 x1+23.4 x2-8.8 x3+5.3 x4=7.2

16

30.1 x1-1.4 x2+10 x3-1.5 x4 = 10

17.5 x1+11.1 x2+1.3 x3-7.5 x4 = 1.3

1.7 x1-21.1 x2+7.1 x3-17.1 x4 = 10

2.1 x1-2.1 x2+3.5 x3+3.3 x4 = 1.7

2

8.2 x1-3.2 x2+14.2 x3+14.8 x4=- 8.4

5.6 x1-12 x2+15 x3-6.4 x4=4.5

5.7 x1+3.6 x2-12.4 x3-2.3 x4=3.3

6.8 x1+13.2 x2-6.3 x3-8.7 x4=14.3

17

7.3 x1-8.1 x2+12.7 x3-6.7 x4 = 8.8

11.5 x1+6.2 x2-8.3 x3+9.2 x4 = 21.5

8.2 x1-5.4 x2+4.3 x3-2.5 x4 = 6.2

2.4 x1+11.5 x2-3.3 x3+14.2 x4= -6.2

3

5.7 x1-7.8 x2-5.6 x3-8.3 x4=2.7

6.6 x1+13.1 x2-6.3 x3+4.3 x4= - 5.5

14.7 x1-2.8 x2+5.6 x3-12.1 x4= 8.6

8.5 x1+12.7 x2-23.7 x3+5.7 x4= 14.7

18

4.8 x1+12.5 x2-6.3 x3-9.7 x4 = 3.5

22 x1-31.7 x2+12.4 x3-8.7 x4 = 4.6

15.2 x1-21.1 x2-4.5 x3+14.4 x4 = 15

8.6 x1-14.4 x2+6.2 x3+2.8 x4 = - 1.2

4

3.8 x1+14.2 x2+6.3 x3-15.5 x4 = 2.8

8.3 x1-6.6 x2+5.8 x3+12.2 x4= - 4.7

6.4 x1-8.5 x2-4.3 x3+8.8 x4= 7.7

17.1 x1-8.3 x2+14.4 x3- 7.2 x4= 13.5

19

6.4 x1+7.2 x2-8.3 x3+42 x4 = 2.23

5.8 x1-8.3 x2+14.3 x3-6.2 x4 = 17.1

8.6 x1+7.7 x2-18.3 x3+8.8 x4 = - 5.4

13.2 x1-5.2 x2-6.5 x3+12.2 x4 = 6.5

5

15.7 x1+6.6 x2-5.7 x3+11.5 x4= - 2.4

8.8 x1-6.7 x2+5.5 x3-4.5 x4= 5.6

6.3 x1-5.7 x2-23.4 x3+6.6 x4= 7.7

14.3 x1+8.7 x2-15.7 x3-5.8 x4= 23.4

20

14.2 x1+3.2 x2-4.2 x3+8.5 x4 = 13.2

6.3 x1-4.3 x2+12.7 x3-5.8 x4 = - 4.4

8.4 x1-22.3 x2-5.2 x3+4.7 x4 = 6.4

2.7 x1+13.7 x2+6.4 x3-12.7 x4 = 8.5

Окончание таблицы 8

N

Система уравнений

N

Система уравнений

6

4.3 x1-12.1 x2+23.2 x3-14.13x4=15.5

2.4 x1-4.4 x2+3.5 x3+5.5 x4 = 2.5

5.4 x1+8.3 x2-7.4 x3-12.7 x4 = 8.6

6.3 x1-7.6 x2+1.34 x3+3.7 x4 = 12.1

21

7.3 x1-12.4 x2-3.8 x3-14.3 x4 = 5.8

10.7 x1-7.7 x2+12.5 x3+6.6 x4= -6.6

15.6 x1+6.6 x2+14.4 x3-8.7 x4=12.4

7.5 x1+12.2 x2-8.3 x3+3.7 x4 = 9.2

7

14.4 x1-5.3 x2+14.3 x3-12.7 x4=-14.4

23.4 x1-14.2 x2-5.4 x3+2.1 x4 = 6.6

6.3 x1-13.2 x2-6.5 x3+14.3 x4 = 9.4

5.6 x1+8.8 x2-6.7 x3-23.8 x4 = 7.3

22

13.2 x1-8.3 x2-4.4 x3+6.2 x4 = 6.8

8.3 x1+4.2 x2-5.6 x3+7.7 x4 = 12.4

5.8 x1-3.7 x2+12.4 x3-6.2 x4 = 8.7

3.5 x1+6.6 x2-13.8 x3-9.3 x4= - 10.8

8

1.7 x1+10 x2-1.3 x3+2.1 x4 = 3.1

3.1 x1+1.7 x2-2.1 x3+5.4 x4 = 2.1

3.3 x1-7.7 x2+4.4 x3-5.1 x4 = 1.9

10 x1-20.1 x2+20.4 x3+1.7 x4 = 1.8

23

8.1 x1+1.2 x2-9.1 x3+1.7 x4 = 10

1.1 x1-1.7 x2+7.2 x3-3.4 x4 = 1.7

1.7 x1-1.8 x2+10 x3+2.3 x4 = 2.1

1.3 x1+1.7 x2-9.9 x3+3.5 x4 = 27.1

9

1.7 x1-1.8 x2+1.9 x3-57.4 x4 = 10

1.1 x1-4.3 x2+1.5 x3-1.7 x4 = 19

1.2 x1+1.4 x2+1.6 x3+1.8 x4 = 20

7.1 x1-1.3 x2-4.1 x3+5.2 x4 = 10

24

3.3 x1-2.2 x2-10 x3+1.7 x4 = 1.1

1.8 x1+21.1 x2+1.3 x3-2.2 x4 = 2.2

10 x1+1.1 x2+20 x3-4.5 x4 = 10

70 x1-1.7 x2-2.2 x3+3.3 x4 = 2.1

10

6.1 x1+6.2 x2-6.3 x3+6.4 x4 = 6.5

1.1 x1-1.5 x2+2.2 x3-3.8 x4 = 4.2

5.1 x1-5.0 x2+4.9 x3-4.8 x4 = 4.7

1.8 x1+1.9 x2+2.0 x3-2.1 x4 = 2.2

25

1.7 x1+9.9 x2-20 x3-1.7 x4 = 1.7

20 x1+0.5 x2-30.1 x3-1.1 x4 = 2.1

10 x1-20 x2+30.2 x3+0.5 x4 = 1.8

3.3 x1-0.7 x2+3.3 x3+20 x4 = - 1.7

11

2.2 x1-3.1 x2+4.2 x3-5.1 x4 = 6.01

1.3 x1+2.2 x2-1.4 x3+1.5 x4 = 10

6.2 x1-7.4 x2+8.5 x3-9.6 x4=1.1

1.2 x1+1.3 x2+1.4 x3+4.5 x4 = 1.6

26

1.7 x1-1.3 x2-1.1 x3-1.2 x4 = 2.2

10 x1-10 x2-1.3 x3+1.3 x4 = 1.1

3.5 x1+3.3 x2+1.2 x3+1.3 x4 = 1.2

1.3 x1+1.1 x2-1.3 x3-1.1 x4 = 10

12

35.8 x1+2.1 x2-34.5 x3-11.8 x4 = 0.5

27.1 x1-7.5 x2+11.7 x3-23.5 x4 =12.8

11.7 x1+1.8 x2-6.5 x3+7.1 x4 = 1.7

6.3 x1+10 x2+7.1 x3+3.4 x4 = 20.8

27

1.1 x1+11.3 x2-1.7 x3+1.8 x4 = 10

1.3 x1-11.7 x2+1.8 x3+1.4 x4 = 1.3

1.1 x1-10.5 x2-1.7 x3-1.5 x4 = 1.1

1.5 x1-0.5 x2+1.8 x3-1.1 x4 = 10

13

35.1 x1+1.7 x2+37.5 x3-2.8 x4 = 7.5

45.2 x1+21.1 x2-1.1 x3-1.2 x4 = 11.1

-21.1 x1+31.7 x2+1.2 x3-1.5 x4 = 2.1

31.7 x1+18.1 x2-31.7 x3+2.2 x4 = 0.5

28

1.4 x1+2.1 x2-3.3 x3+1.1 x4 = 10

10 x1-1.7 x2+1.1 x3-1.5 x4 = 1.7

2.2 x1+34.4 x2-1.1 x3-1.2 x4 = 20

1.1 x1+1.3 x2+1.2 x3+1.4 x4 = 1.3

14

1.1 x1+11.2 x2+11.1 x3-13.1 x4 = 1.3

-3.3 x1+1.1 x2+30.1 x3-20.1 x4 = 1.1

7.5 x1+1.3 x2+1.1 x3+10 x4 = 20

1.7 x1+7.5 x2-1.8 x3+2.1 x4 = 1.1

29

1.3 x1-1.7 x2+3.3 x3+1.7 x4 = 1.1

10 x1+5.5 x2-1.3 x3+3.4 x4 = 1.3

1.1 x1+1.8 x2-2.2 x3-1.1 x4 = 10

1.3 x1-1.2 x2+2.1 x3+2.2 x4 = 1.8

15

7.5 x1+1.8 x2-2.1 x3+7.7 x4 = 1.1

10 x1+1.3 x2-20 x3-1.4 x4 = 1.5

2.8 x1-1.7 x2+3.9 x3+4.8 x4 = 1.2

10 x1+31.4 x2-2.1 x3-10 x4 = - 1.1

30

1.2 x1+1.8 x2-2.2 x3-4.1 x4 = 1.3

10 x1-5.1 x2+1.2 x3+5.5 x4 = 1.2

2.2 x1-30.1 x2+3.1 x3+5.8 x4 = 10

10 x1+2.4 x2-30.5 x3-2.2 x4 = 34.1