Решение в формулах

A

B

C

D

14

СИСТЕМА ТРЕХ УРЕХ УРАВНЕНИЙ

15

МАТРИЦА А

16

3

4

2

17

5

-6

-4

18

-4

5

3

19

20

МАТРИЦА В

21

5

22

-3

23

1

24

25

26

ОБРАТНАЯ МАТРИЦА

27

=МОБР(А16:С18)

=МОБР(А16:С18)

=МОБР(А16:С18)

28

=МОБР(А16:С18)

=МОБР(А16:С18)

=МОБР(А16:С18)

29

=МОБР(А16:С18)

=МОБР(А16:С18)

=МОБР(А16:С18)

30

31

РЕШЕНИЕ

32

X1=

=МУМНОЖ(А27:С29;А21:А23)

33

X2=

=МУМНОЖ(А27:С29;А21:А23)

34

X3=

=МУМНОЖ(А27:С29;А21:А23)

35

A

B

C

D

14

СИСТЕМА ТРЕХ УРЕХ УРАВНЕНИЙ

15

МАТРИЦА А

16

3

4

2

17

5

-6

-4

18

-4

5

3

19

20

МАТРИЦА В

21

5

22

-3

23

1

24

25

26

ОБРАТНАЯ МАТРИЦА

27

0.167

-0.167

-0.333

28

0.083

1.417

1.833)

29

0.083

-2.583

-.3.167

30

31

РЕШЕНИЕ

32

X1=

1

33

X2=

-2

34

X3=

5

35

№

Варианта

Система уравнений

0

10 X1 +X2 + X3 = 12,

2X1 + 10X2 + X3 = 13,

2X1 +2X2 +10X3 = 14.

1

4X1 + 0.24X2 – 0.08X3 = 8,

0,09 X1 + 3 X2- 0.15 X3 = 9,

0.04 X1 – 0.08 X2 +4 X3 =20.

2

6 X1 – X2 –X3 = 11.33,

-X1 –+6 X2 – X3 =32,

- X1 – X2 +6 X3 = 42.

3

3 X1 – X2 = 5,

-2 X1 + X2 – X3 = 0,

2 X1 – X2 + 4 X3 = 15.

4

0.427 X1 + 3.210 X2 – 1.307 X3 = 2.425,

4.270 X1 – 0.513 X2 – 1.102 X3 = - -0.176,

0.012 X1 + 1.273 X2 – 4.175 X3 =1.423.

5

10 X1 – X2 + 2 X3 – 3 X4 = 0,

X1 – 10 X2 – X3 + 2 X4 = 0,

2 X1 + 3 X2 + 20 X3 – X4 = -10,

3 X1 + 2 X2 + X3 + 20 X4 = 15/

6

0.427 X1 + 3.210 X2 – 1.307 X3 = 2.425,

4.270 X1 – 0.513 X2 + 1.102 X3 = 1.423,

0.012 X1 + 1.273 X2 – 4.175 X3 = 1.423.

7

10 X1 – X2 + 2 X3 – 3 X4 = 0,

X1 – 10 X2 + X3 +2 X4 = 0,

2 X1 + 3 X2 + 20 X3 – X4 = -10,

3 X1 + 2 X2 + X3 + 20 X4 = 15.

8

13. X1 – 2.87 X2 – 1.94 X3 + 0.61 X4 = 0.32,

27. X1 + 7.23 X2 - 0.15 X3 + 1.7 X4 = -4.16.

0.19 X1 + 2.75 X2 + 3.14 X3 – 0.76 X4 = 2.33,

2.87 X1 + 4.33 X2 – 2.41 X3 – 3.42 X4 = 2.79.

.

9

7.9 X1 + 5.6 X2 + 5.7 X3 – 7.2 X4 = 6.68,

8.5 X1 – 4.8 X2 + 0.5 X3 + 3.5 = 9.95,

4.3 X1 + 4.2 X2 – 3.2 X3 + 9.3 = 8.6,

3.2 X1 – 1.4 X3 – 8.9 X3 + 8.3 X4 =1.