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Национальный исследовательский ядерный университет (МИФИ)

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[НЕСОРТИРОВАННОЕ]

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линал бдз

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<<< < Предыдущая 1 2 34 / 84 5 6 7 8 > Следующая >>>

	x1 + 4x2			3x3 = 0;
13.	83x1	+ 5x2		7x3 = 0;
	<4x1		5x2	6x3 = 0:
	:
	8 x x + x + x 2x = 0;
	2x1	+ 2x2		x3 x4	+ x5	= 0;
	>

14.>3x1 + 3x2 3x3 3x4 + 4x5 = 0;

:4x1 + 5x2 5x3 5x4 + 7x5 = 0:1 2 3 4 5

8 x +	2x x +	x 2x = 0;
2x1	2x2 + x3	x4 + x5 = 0;

15.>4x1 10x2 + 5x3 5x4 + 7x5 = 0;

:2x1 14x2 + 7x3 7x4 + 11x5 = 0:1 2 3 4 5

8x1	+ 3x2	+ 2x3	2x4 + x5	= 0;
x1	+ 3x2	+ 5x3	4x4	= 0;
>
>

16.x1 2x2 + x3 + x4 x5 = 0;

		x1 4x2 + x3 + x4 x5 = 0;
	>x1 + 2x2 + x3 x4 + x5 = 0:
	>
	>
	>
	:2x1 x2 + x3 x4 = 0;
17.	82x1 x2		3x4 = 0;
	>3x1		x3 + x4 = 0;
	>
	<
	>2x1 + 2x2 2x3 + 5x4 = 0:
	>
	:3x1 + 3x2		x3 + 3x4 + 2x5 = 0;
	82x + 3x		x + 4x + 2x = 0;

18.>7x1 + 9x2 3x3 + 5x4 + 6x5 = 0;

:5x1 + 9x2 3x3 + x4 + 6x5 = 0:1 2 3 4 5

>3x1 x2 + 2x3 + 3x4 + 2x5 = 0;

<9x 3x + 4x + 8x + 9x = 0;

19.>6x1 2x2 + 6x3 + 7x4 + x5 = 0;

:3x1 x2 + 4x3 + 4x4 x5 = 0:1 2 53 4

20.	85x1	+ 7x2	+ x3 + 3x4	+ 4x5	= 0;
	2x1	+ 3x2	+ 2x4	+ x5	= 0;
	>4x1 + 5x2 + 2x3 + x4 + 5x5 = 0;
	>
	<
	>7x1 + 10x2 + x3 + 6x4 + 5x5 = 0:
	>
	:
	88x1	+ 12x2	9x3 + 8x4	= 0;
	2x + 3x		x + x = 0;

21.>4x1 + 6x2 + 3x3 2x4 = 0;

:2x1 + 3x2 + 9x3 7x4 = 0:1 2 3 4

>5x1 + 3x2 + 4x3 = 0;

<6x + 5x + 6x = 0;

22.> x1 + 2x2 + 2x3 = 0;

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

>2x1 + 7x2 + 3x3 + x4 = 0;

< x1 + 3x2 + 5x3 2x4 = 0;

23.> x1 + 5x2 9x3 + 8x4 = 0;

:5x1 + 18x2 + 4x3 + 5x4 = 0:

<2x1 + 3x2 + 5x3 + 6x4 = 0;

24.3x1 + 4x2 + 6x3 + 7x4 = 0;

:3x1 + x2 + x3 + 4x4 = 0:

>3x1 + 2x2 + 2x3 + 2x4 2x5 = 0;

<6x + 4x + 7x + 4x + 5x = 0;

25.>3x1 + 2x2 x3 + 2x4 11x5 = 0;

:6x1 + 4x2 + x3 + 4x4 13x5 = 0:1 2 3 54

26.	86x1	9x2	+ 10x3		= 0;
	4x1	6x2	+	5x3	= 0;
	<2x1	3x2 +		5x3	= 0:
	:

82x1 3x2 + 4x3	+ 5x	4 4x5 = 0;
2x + 7x + 4x	+ 5x	+ 8x = 0;

27.> x1 9x2 3x3 5x4 14x5 = 0;

:3x1 + 5x2 + 7x3 + 5x4 + 6x5 = 0:521 3

83x	x + 2x +	6x +	3x = 0;
3x1	x2 + x3	2x4 +	6x5 = 0;
>

28.>6x1 2x2 + 5x3 + 20x4 + 3x5 = 0;

:9x1 3x2 + 4x3 + 2x4 + 15x5 = 0:1 2 3 4 5

89x + 8x + 5x + 6x +				9x = 0;
6x1	+ 4x2	+ 2x3	3x4 +	3x5 = 0;
>

29.>3x1 + 8x2 + 7x3 + 30x4 + 15x5 = 0;

> 1 2 3 4 5

:6x1 + 6x2 + 4x3 + 7x4 + 5x5 = 0:

= 0;

30.

>x1

+ x5

= 0;

+ x

= 0;

x4 5

= 0:

= 0;

84x + 2x + x x x

+ x = 0;

2x1

+ x2

2x3 + x4 + x5

= 0;

31.>2x1 + x2 + 7x3 5x4 5x5 + 5x6 = 0;

> 1 2 3 4 5 6

	:6x1 + 3x2 x3 2x4 + x5 x6 = 0:
32.	8x1	x2	x3	+ 2x4	3x5	= 0;
	x1	x2	2x3	+ 3x4	4x5	= 0;
	>x1 x2 + 3x3				3x5 = 0;
	>
	<					= 0:
	>x1 x2 + 10x3 3x4 4x5					= 0:
	>

< 8x1 5x2 6x3 + 3x4 = 0;

33.4x1 x2 3x3 + 2x4 = 0; :12x1 7x2 9x3 + 5x4 = 0:

> x1 + 2x2 + 3x3 3x4 = 0;

<4x + 7x + 5x 5x = 0;

34.> x1 + x2 4x3 + 4x4 = 0;

:2x1 + 9x2 + 6x3 6x4 = 0:1 432

35.

82x1

3x5

= 0;

2x1

+ x3 + x4

= 0;

>3x1

x4 + x5 = 0;

>2x1 + 2x2 2x3 2x4 + 5x5 = 0:

36.

83x1

2x2

+ 2x3

3x4

6x5

= 0;

2x1

+ x2

+ x4

+ 2x5

= 0;

>5x1 + x2

x3 + 2x4 + 4x5 = 0;

>2x1 x2 + x3 3x4 6x5 = 0:

+ x

= 0;

37.

5 + x6 = 0;

>x1

+ x5

= 0;

+ x

= 0;

x4 + x5

= 0:

>x1

: x

+ 2x

+ 3x

+ 4x = 0;

82x1

+ 3x2

+ 4x3

+ x4

= 0;

38.>3x1 + 4x2 + x3 + 2x4 = 0;

:4x1 + x2 + 2x3 + 3x4 = 0:1 2 3 4

< 8x1 5x2 5x3 6x4 + 3x5 = 0;

39.4x1 x2 x3 3x4 + 2x5 = 0; :12x1 7x2 7x3 9x4 + 5x5 = 0:

8x1	+ 3x2	+ 2x3	2x4	2x5 + x6	= 0;
x1	+ 3x2	+ 5x3	5x4	4x5	= 0;
>

40.x1 2x2 + x3 x4 x5 x6 = 0;

		x1 4x2 + x3 + x4 + x5 x6 = 0;
	>x1 + 2x2 + x3 x4 x5 + x6 = 0:
	>
	>
	>
	:
41.	8 x1		+ 3x2	+ x3	+ x4	= 0;
		3x1	+ x2	+ x3	+ x4	= 0;
	> x1 + x2 + 3x3 + x4 = 0;
	>
	<
	> x1 + x2 + x3 + 3x4 = 0:
	>
	:
	82x1		+ 3x2	x3	+ 4x4	+ 4x5 + 2x6 = 0;
		3x + 3x		x + 3x + 3x + 2x = 0;

42.>7x1 + 9x2 3x3 + 5x4 + 5x5 + 6x6 = 0;

> 1 2 3 4 5 6

:5x1 + 9x2 3x3 + x4 + x5 + 6x6 = 0:

43.	85x1	+	7x2	+	x3	+	3x4	3x5	+ 4x6	= 0;
	2x1	+	3x2			+ 2x4		2x5	+ x6	= 0;
	>4x1 +		5x2 + 2x3 +				x4 x5 + 5x6			= 0;
	>
	<

:7x1 + 10x2 + x3 + 6x4 6x5 + 5x6 = 0:

>2x1 + 3x2 x3 + 5x4 = 0;

=0;

44.>4x1 + x2 3x3 + 6x4 = 0;

:x1 2x2 + 4x3 7x4 = 0:<3x1 x2 + 2x3 7x4

>2x1 + x2 + 2x3 + 3x4 3x5 = 0;

<8x1 + 4x2 + 7x3 + 5x4 5x5 = 0; 45. >2x1 + x2 + x3 4x4 + 4x5 = 0;

:4x1 + 2x2 + 5x3 + 6x4 6x5 = 0:

> x1 2x2 + 2x3 + 3x4 + 4x5 = 0;

<2x 4x + 3x + 4x + x = 0;

46.>3x1 6x2 + 4x3 + x4 + 2x5 = 0;

:4x1 8x2 + x3 + 2x4 + 3x5 = 0:1 2 3 4 5

<4x1 6x2 5x3 x4 = 0;

47.6x1 9x2 + 10x3 2x4 = 0;

	:2x1 3x2 + 5x3 x4 = 0:
48.	82x1	+ x2	+ 6x3	4x4	+ 2x5	= 0;
	x1	+ x2	+ 3x3	3x4	+ x5	= 0;
	> x1		+ 3x3 x4 + x5 = 0;
	>
	<

:5x1 + 2x2 + 15x3 9x4 + 3x5 = 0:

> x1 + 3x2 + 2x3 = 0;

=0;

49.>3x1 5x2 + 4x3 = 0;

:x1 + 17x2 + 4x3 = 0:<2x1 7x2 + 3x3

<x1 2x2 + x3 + x4 = 0; 50. x1 2x2 + x3 x4 = 0;

:x1 2x2 + x3 + 5x4 = 0:

	x1 + x2 + x3 = 0;
51.	8 x1 + 2x2 + 3x3 = 0;
	>4x1 + 5x2 + 6x3 = 0;
	>
	<
	>7x1 8x2 + 9x3 = 0:
	>
	:

52.	8 x1	x2	+ 3x3	+ x5	= 0;
	3x1	9x2	+ 15x3	+ 2x4 + 5x5	= 0;
	>2x1	4x2 + 3x3 + x4 + 2x5			= 0;
	>
	<				= 0:
	> x1 3x2 + 3x3 + x4 + x5				= 0:
	>

53.

8x1

2x4

2x5

= 0;

+ 2x2

+ 3x3 + x4

13x5

= 0;

>x1 + x2 + x3

6x5 = 0;

x2 + 2x3 + x4 7x5 = 0:

8 3x1

2x2

+ x4

= 0;

54.

11x1

16x2

2x3 + 3x4

= 0;

5x2 +

= 0;

+ 3x

+ x

= 0;

5x1 + x2 + x3 + 2x4 = 0:

8 x1

+ x2

+ 3x3

+ 2x4

= 0;

2x1

+ x2

+ x3

+ 5x4

= 0;

55.4x1 x2 13x3 + 13x4 = 0;

	>	x1	2x3 + 3x4 = 0;
	>		x2 + 5x3 x4 = 0:
	>
	>
	>
	:
56.	8		2x2	+ 2x3		+ x4	x5	= 0;
		3x1 7x2			5x3	+ 5x4	2x5	= 0;
	> x1				6x3 + x4 + x5 = 0;
	>
	<						+ x5	= 0:
	>2x1 + x2 7x3						+ x5	= 0:
	>

> 19x1 24x2 8x3 3x4 = 0;

< 3x1 2x2 + 5x3 + 4x4 = 0; 57. > 4x1 6x2 5x3 3x4 = 0;

: 3x1 + 4x2 + 2x3 + x4 = 0:

>3x1 + 2x2 + x3 + 3x4 + 5x5 = 0;

<6x1 + 4x2 + 3x3 + 5x4 + 7x5 = 0;

58.>9x1 + 6x2 + 5x3 + 7x4 + 9x5 = 0;

:3x1 + 2x2

+ 4x4 + 8x5 = 0:

>4x1 + 7x2 2x3 + 6x4 + 5x5 = 0;

+2x5 = 0;

59.>6x1 + 5x2 3x3 + 9x4 + 7x5 = 0;

:6x1 + x2 3x3 + 9x4 + 5x5 = 0:+ 3x4<2x1 + 4x2 x3

+ x2 + 2x3

+ x5 + x6 = 0;

60.

>x1

+ x5

= 0;

+ 2x

+ 3x

+ x

+ 2x

= 0;

= 0:

>x1

x4 + x5

4.2. Неоднородные системы

Найти общее решение систем и записать его в векторной форме. Выделить фундаментальную систему решений соответствующей однородной системы.

1.	83x1	+ 3x2		+ 3x3		x4 2x5	= 1;
	x1		x2		3x3	+ x4	=	3;
	> x1		4x2		9x3 + 3x4 + x5		= 8;
	>
	<
	>2x1 + x2					x5 = 1:
	>

< x1 3x2 x3 + x4 + 3x5 = 7;

2.x1 + 3x2 x3 x4 x5 = 3;

	:2x1 + 3x2 2x3 x4						= 1:
3.	84x1	5x2	+ 3x3		+ x4	+ 3x5	= 1;
	2x1	3x2	+ 3x3		+ x4	+ x5	= 3;
	<6x1	7x2 + 3x3 + x4				+ 5x5	=		1:
	:
4.	8 x1	2x2		x3		+ x5		= 1;
	x1	5x2		+ x3	+ x4 + 2x5			= 3;
	<5x1	16x2		x3 + 2x4 + 7x5				= 9:
	:

	2x1 + 5x2 + 4x3					x4	= 7;
5.	82x1 +		x2		2x3	x4	= 7;
	<2x1		x2		2x3	x4	= 7:
	:
6.	82x1		2x2	+ x3		+ x4 = 4;
	x1	+	x2		2x3		= 1;
	< x1		7x2 + 8x3 + 2x4 = 5:
	:

7.	8 2x1		+ 3x2	+ 6x4	= 25;
	>	x1	+ x2 + x3	+ x4	= 1;
	>	x1	+ 2x3	2x4	= 6;
	>
	<
	>		3x2 + 5x3 + x4		= 1:
	>
	:
	8 2x1 x2 x3 x4				= 1;
	>

< 4x1 + x2 3x3 8x4 = 6;

8.> x2 + x3 2x4 = 4;

: 2x1

+ 4x3 + 3x4 = 3:

8 x1

+ 2x3

+ 3x4

= 10;

2x2 + 2x3

+ 5x4

2x2

4x3

11x4 =

> 2x1 2x2

x4 = 16:

10.

8 x1

+ x2

+ 2x4

2x2

+ 4x3

+ 5x4

>5x1

4x2 + 14x3 + 19x4 = 1;

+ x4 = 3:

> x1 + 2x2

11.

84x1

+ 5x3

3x4

+ x2

+ 2x3

= 0;

:4x2 + 3x3 x4 = 4:

< x1 2x2 + 2x3 x4 = 6;

12.3x1 2x2 2x3 + x4 = 26;

: x1 x2

13.

8 x1

+ x2

2x3

x4 + x5 = 2;

x2 3x3 + x4 + 2x5 = 12;

2x4 x5 = 7:

>2x1 x2

2x1

2x2 + x3 + 3x4 =

14.

810x1

7x2 + 4x3 + 9x4

6x1

+ x3

3x4 = 16;

4x1 x2 + x3

= 7:

15.

85x1

+ 18x2

+ 7x4

9x1

10x2

4x3

6x5 =

20;

20x2 + 4x3 + 8x4

x5 = 3;

>4x1 8x2

7x5 = 25:

16.

8x1

2x2

+ 3x3

3x4

+ 14x2

+ 3x3

+ 3x4

= 12;

>x1

10x2 + 3x3 9x4 = 12;

2x2

+ x4 = 2:

: x1 + 3x2

2x3

6x4 = 19;

17.

8 x1

2x4 =

>2x1

= 1;

> x1 x2

+ 2x4 = 7:

18.

83x1

+ 2x2

+ 3x3

+ 6x4

19;

2x2

+ 5x3

+ 6x4

= 21;

> x1 + 2x2

= 1;

:2x2 3x3 3x4 = 11:

<<< < Предыдущая 1 2 34 / 84 5 6 7 8 > Следующая >>>

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