Материал: Методические указания к выполнению лабораторной работы № 5 по дисциплине «Информатика». Плотникова Е.Ю., Кошелева Н.Н

16.

a)

0

1

1

b)

2

−20

7

3

2 −5 , = 1

3

4

0 , = 2

7

9

8

9

11

5

−6

17.

a)

1

0

b)

8

−8

5

9

−8 −7 , = 2

9 −4

0 , = 3

3

12

4

6

8

5

18.

a)

19

−4

5

b)

9

5

−3

−10

8

0 , = 1

−3

8

9

, = 3

5

3

5

0

3

7

19.

a)

20

−5

0

b)

0

−5

20

6

2

9 , = 2

9 2

6 , = 1

3

−9

4

4

8

−9

3

20.

a)

−16

−4

0

b)

−8

1

6

3

1 , = 2

1 0 8 , = 3

7

7

12

7

3

5

1 −1 1 −1

7.

11−23

1.

2 0 1

3

2

0

1

3

13−19

3

−1−3 1 −9

8.

4

2

1

2.

2

−11

3

−1

2 −34

−1

2 3

1

5

−5 2 3

4

−4

5 5 −1

9.

1

2

3

3.

−3 3

1 −1

−8−5−10−10

2 −1−2 3

−5

1

−1

2

−8 7

4 −5

10.

4 0 1−1

4.

3

1 −13

610 1−7

2

4 −60

3−51 2

2 −1 2 3

11.

2

−60−4

5.

3 −3−3 1

3

−90−6

9

0

0

4

−1

9

0

2

6.

−1−2−2 2

12.

4 0 −1 7

2 −1−1−3

510 2 −1

2

1

3

1

5−3 2

1

4 −5 5

1

13.

3

12−627

17.

6−61224

2

8 −418

5−51020

−1−8 2 −9

3−3 6 12

14.

−9 9 −6−12

18.

12 −12 4 −8

−6 6 −4 −8

9

−9

8 −6

3 −3 2

4

−15 15 −510

15.

−8 −20−12

19.

1

0

1

−1

−12−30−18

3 −1 1

4

4

11 0

6

−9 2 −5−5

16.

8 −12 12

4

20.

−4−3 2

1

−6

9

−9 −3

1

2

2 −2

−4 16 −6 −2

−5 0 10−4

Задание 5.4. Найти обратную матрицу

1

−1

−1

1.

=

1

1

1

9.

A=

1

2

1

−1

2

1

1

1

2

−1

8

1

2

2.

=

1

2

3

10.

A=

5

−1

2

6

4

6

4

−2

3

10

8

1

0

1

3.

A=

1

1

1

11.

A=

2

3

2

−2

−1

−2

1

3

−1

2

3

3

4

1

3

4.

A=

1

2

3

12.

A=

2

5

7

2

6

4

6

3

4

−4

−14

−6

5

−2

2

−3

5.

A=

5

8

−1

13.

A=

6

3

2

−3

2

7

1

2

1

2

3

3

0

1

−6

6.

A=

3

4

2

14.

A=

2

6

2

−4

−3

5

14

−2

1

5

1

1

−1

4

4

7.

A=

1

−1

15.

A=

7

4

−3

8

3

−6

3

6

−1

−4

−1

3

16.

−1

1

12

2

7

3

A=

9

4

−1

8.

A=

14

8

−3

3

9

4

−2

5

−6

1

5

3

50

17.

A=

0

−1

2

2

8

−5

2

1

1

3

7

1

19. A= −3

−1

0

18.

A=

3

1

2

4

5

−3

−1

0

2

1

2

1

3 1−2 2+5 3 = 7

10.

3 1+ 2− 3 = 10

1.

−3 1+3 2+2 3= 8

7 1+4 2−8 3 = 3

5

1+2 2+8 3 = −1

5 1− 3 2−4 3 = −12

11.

2

1+3 2+2 3 = 9

2.

3 1− 4 2+5

3 = 18

1+2 2− 3 3

= 14

2 1+4 2−3

3 = 26

3

1+4 2+ 3

= 16

1− 6 2+8

3 = 0

12.

1+2 2+3 3

= 14

3.

1+ 2+ 3 = 6

1+ 2+ 3 = 6

2 1+ 2− 3 = 1

1+ 2 = 3

3 1−

2+ 3 = 4

13.

2 1+5 2+4

3 = 3

4.

1+2

2+3 3 = 8

4 1+10 2+6 3 = 6

4 1+5

2+6 3 = 19

4

1+15 2+12 3 = 5

7 1+8 2 = 1

14.

1− 3 2+2 3

= −1

5.

1+

2+ 3

= 1

1+9 2+6 3 = 3

1+

2+

3

=

3

1+3 2+4 3 = 1

1+ 2+

3

= 1

15.

1+2 2+ 3

= 5

6.

3 1+2

2+ 3

= −8

4

1+ 2− 3 = 0

2 1+3

2+ 3

= −3

1− 2+5 3

= 3

2 1+ 2+3 3

= −1

16.

2 1+ 2− 3 = 5

7.

1+2 2+3 3= 4

1− 2 2+2 3

= −5

2 1+6 2+4 3 = −6

7 1+ 2− 3 = 10

3 1+10 2+8

3 = −8

17.

0.04 1− 0.08 2+4 3 = 20

8.

−3 1+4 2+

3 = 17

4 1+0.24 2−0.08 3= 8

2 1+

2−

3 = 0

0.09 1+3 2−0.15 3= 9

−2 1+3 2+5 3= 8

18.

2

1+5 2+7 3 = −1

9.

1+2 2− 3 3= −3

4 1+10 2+6 3 = 2

−2 1+6 2+9 3= −11

3 1−3 2+12 3 = 3

19.

3.21

1+0.71

2+0.34

3= 6.12

20.

12 1+5 2+7 3 = −1

0.43

1+4.11

2+0.22

3= 5.71

4 1+ 2+

3 = 2

0.17

1+0.16

2+4.73

3= 7.06

3 1−3 2+

3 = 3

1.

1+2 2+4 3 = 31

11.

7 1−5 2 = 31

5 1− 2+2 3 = 20

4 1+11 2= −43

3 1−

2+ 3 = 10

2 1+3

2+4 3 = −20

2.

3

2 1−

2−

3 = 4

12.

2 1−

2− 3 = 0

1+4

2−2 3

= 11

3 1+4

2−2 3 = 0

3

1−2

2+4 3

= 11

3 1−2

2+4 3 = 0

3.

3

1+2

2+ 3 = 5

13.

3 1+4 2+2 3 = 8

2

1+3

2+ 3 = 1 = 11

2 1−4

2−3 3 = −1

2 1+ 2+3 3

1+5 2+ 3 = 0

4.

2

1+ 2+2 3 = −1

14.

3 1− 2 = −5

1− 2+2 3 = −4

2 1+3 2= 4

4

1+ 2+4 3 = −2

− 1+

2 = −

5.

4 1−3 2+2 3= 9

1+1.5 2= 2

2

1+5

2−3 3

= 14

15.

1−√3

2 = 1

6.

5

1+6

2−2 3

= 18

√3

1−3 2 = √3

2

1−2

2+3 3

= 6

−√

1+ 2 = −√

1+3

2−4 3

= 20

1+

2− 3 = −2

3 1−2 2− 5 3= 6

16.

7.

3

1+2

2+ 3 = 4

4 1−3

2+ 3 = 1

1−5

2+3 3

= 1

2 1+

2− 3 = 1

2 1+7 2−

3 = 8

17.

3 1+

2+ 3 = 5

8.

3 1+4 2+

3+2 4 = 3

1− 4 2− 2 3 = −3

6 1+8 2+2

3+5 4 = 7

−3 1+5 2+6 3 = 7

9

1+12 2+3 3+10 4 = 13

18.

2 1−

2+5 3 = 4

9.

2√5 1− 2+√5 3 = 1

5 1+2

2+13 3 = 2

10 1−√5

2+5 3 = √5

3 1−

2+5 3 = 0

−2 1+

√

2− 3 = −

√

19.

5 1+8 2− 3 = 7

10.

2 1−3

2+2 3 = 9

1+

2− 3 = 1

1+2 2+3 3 = 1

8 1+3 2− 6 3 = 2

−4 1−

2+3 3 = −3

1.

1

0

2

5

1

−3

4

−1

4

7

1

−1

2.

3 2 1 = 1 −2 5

12.

4

3

2

= 2 1

0

−2

1

−1

5

1

−1

1

−2

1

1

−1

7

3.

1

−1

3

2

1

−1

13.

1

3

2

5

1

−3

2 3 2 = 2 3

0

3

4

1 = 9 −8 5

1

0

5

1

−1

4

−5

1

−7

5

2

−1

4.

2

−1

3

5

1

−1

14.

1

−5

3

1

8

−1

4 2

2 = 2 3

0

4

3

2

= 9 1

0

1

−2

3

1

−1

7

1

−7

5

1

−3

1

5.

1

3

2

5

1

−3

15.

4

5

2

5

1

−3

3

2

1

= 2 −2 5

3

0

1 = 3 −2 5

−2

1

0

1

2

−1

−5

1

−1

5

5

−1

6.

1

−2

3

1

1

−1

16.

4

−1

3

7

1

−7

4 0

2 = 2 3

2

4

7

2

= 2 5

0

1

−2

5

1

−1

1

2

−2

3

1

−1

3

7.

4

3

2

5

1

−3

17.

5

3

7

9

1

−3

3

0

1

= 4 −2 5

3 −2

1 = 9 −3

5

−5

1

2

1

2

−1

−5

4

1

5

2

7

8.

8

3

2

1

1

−3

18.

7

2

3

3

1

−1

3

2

1 = 2 −2 5

4

3

0

= 2 −4

0

−1

0

−2

3

2

−1

1

−3

5

1

1

3

9.

2

−1

3

3

2

−1

19.

4

3

2

5

1

−3

4 3

1

= 2 1

0

3

2

1 = 9 −2 5

1

−2

1

1

−1

2

−5

1

−2

5

2

−1

10.

7

−1

3

3

2

−1

20.

3

−1

3

7

1

−1

4 3

2

= 2 1

0

4

3

2

= 2 3

0

1

−2

7

1

−2

1

21.

2

−2

5

1

−1

2

4

8

1

= 5

1

−3

4

5

2

5

1

−1

11.

3

0

1

= 9

−2

5

3

4

1

9

−2

5

−5

2

−2

1

2

−1

−1

1

−2

5

2

−1