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Национальный Технический Университет Харьковский Политехнический Институт

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[НЕСОРТИРОВАННОЕ]

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RGZ_Lineynaya_algebra

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		3x1 2x2 3x3 x4 4,
				2x2	2x3 5x4 2,
	5.	4x1		2x2	2x3 5x4 2,
	5.	x	5x 6x 6,
		x	5x 6x 6,
		1		3	4
		2x		2x	8x	7x	10.
			1	2	3	4
		x1 x2 3x3 2x4 2,
				2x2	x3 5x4		11,
	7.	2x1		2x2	x3 5x4		11,
	7.	4x		5x	9x 7,
		4x		5x	9x 7,
			1	3	4
		x	3x 4x 3x				13.
		1		2	3	4
		x1 2x2 x3 x4 2,
			3x2 x3 2x4 3,
	9.	x1	3x2 x3 2x4 3,
	9.	2x		5x	2x x 5,
		2x		5x	2x x 5,
			1	2	3	4
		4x 9x 4x x 9.
			1	2	3	4
		x1 2x2 4x3 3x4 1,
				3x2	x3 3x4 8,
	11.	2x1		3x2	x3 3x4 8,
	11.			5x2	5x3 6x4 9,
		3x1		5x2	5x3 6x4 9,
		x	x 3x 7.
		1		2	3
		2x1 x2 x3 x4 3,
			3x2 x3 2x4 4,
	13.	x1	3x2 x3 2x4 4,
	13.			4x2	x4 1,
		3x1		4x2	x4 1,
		4x 7x x 3x 5.
			1	2	3	4

x1 3x2 2x3 x4 2,

15.x1 2x2 5x3 x4 3,2x1 5x2 7x3 2x4 1,

4x1 11x2 11x3 4x4 3.

	2x1 8x2					x3 10x4 11,
			x2 x3 x4 1,
17.	x1
		2x		x	4x		3,

			2	3		4
	x		3x		3x		4.
		1		2		4
	x1 2x2				3x3 2x4			10,
				x2	5x3 x4 4,
19.	2x1
		4x		3x		x	5x	24,

			1	2		3	4
	3x			x	2x		3x	14.
			1	2		3	4

		x1 x2 x3 2x4 1,
					x2 2x3 2x4 4,
	6.	3x1			x2 2x3 2x4 4,
	6.	x		x 4x 2x 2,
		x		x 4x 2x 2,
			1		2	3	4
		3x x 7x 2x 5.
				1	2	3	4
		x1 3x2 3x3 2x4 2,
					2x2 4x3 x4 1,
	8.	2x1			2x2 4x3 x4 1,
	8.				x2 x3 x4 1,
		3x1			x2 x3 x4 1,
		2x 14x 16x 9x 9.
				1	2		3	4
		x1 2x2 3x3 x4 3,
					x2 2x3 3x4 7,
	10.	2x1			x2 2x3 3x4 7,
	10.				3x2 x3 2x4 4,
		3x1			3x2 x3 2x4 4,
		x		x 5x 4x 10.
			1		2	3	4
		x1 x2 3x3 2x4 4,
					3x2 x3 2x4 5,
	12.	2x1			3x2 x3 2x4 5,
	12.		4x		5x	5x	2x	13,
			4x		5x	5x	2x	13,
				1	2	3	4
		x 2x 4x 4x 1.
			1		2	3	4
		x1 x2 2x3 3x4 5,
					x2 3x3 1,
	14.	2x1			x2 3x3 1,
	14.				2x2 5x3 3x4 4,
		3x1			2x2 5x3 3x4 4,
		x		x 3x 6.
			1		3	4
		x1 x2 x3 x4 3,
					x2 x3 x4 3,
	16.	3x1			x2 x3 x4 3,
	16.		4x		2x x 2x 6,
			4x		2x x 2x 6,
				1	2	3	4
		x		x x 3.
			1		2	4
		2x1 x2 x3 2x4 2,
				x2 x3 2x4 1,
	18.	x1		x2 x3 2x4 1,
	18.				2x2 2x3 3,
		3x1			2x2 2x3 3,
		4x 3x 3x 2x 4.
				1	2	3	4
		x1 2x2 2x3 x4 2,
					x2 2x3 x4 6,
	20.	3x1			x2 2x3 x4 6,
	20.		4x		3x	8,
			4x		3x	8,
				1	2
		2x x 4x 2x 4.
				1	2	3	4
			31

	x1 5x2 4x3 2,
			x2 x3 x4 4,
21.	x1		x2 x3 x4 4,
21.		2x		2x	x 3x 10,
		2x		2x	x 3x 10,
			1	2	3	4
	x 3x 2x 2x 6.
		1		2	3	4
	3x1 x2 4x3 x4 0,
			2x2 x3 2x4 1,
23.	x1		2x2 x3 2x4 1,
23.		2x		x 3x x 1,
		2x		x 3x x 1,
			1	2	3	4
	5x			7x	1.
			1	3
	x1 3x2 4x3 3x4 4,
				x2 2x3 2x4 2,
25.	3x1			x2 2x3 2x4 2,
25.		2x		4x 2x x 2,
		2x		4x 2x x 2,
			1	2	3	4
	x		13x		14x	10x 14.
		1		2	3	4
	3x1 2x2 3x3 x4 0,
			2x2 x3 2x4 2,
27.	x1		2x2 x3 2x4 2,
27.		4x		2x	3x 2,
		4x		2x	3x 2,
			1	3	4
	x 6x 5x 3x 4.
		1		2	3	4
	x1 x2 2x3 2x4 1,
				4x2 5x3 5x4 0,
29.	3x1			4x2 5x3 5x4 0,
29.		x	2x x x 2,
		x	2x x x 2,
		1		2	3	4
	4x 7x 5x 5x 5.
			1	2	3	4

	x1 x2 2x3 x4 1,
			x2	x3 2x4 3,
22.	2x1
			x3	x4 4,
	3x1
	5x 2x 5x x 6.
		1		2	3	4
	x1 2x2 x3 3x4 1,
		3x2		2x3 5x4 3,
24.	x1
			x2	4x3 x4 1,
	3x1
	2x x 3x 2x 2.
		1	2		3	4

2x1 x2 x3 x4 6,

26.3x1 x2 x3 2x4 9,

5x1 2x2 2x3 3x4 15,

x1 x2 x3 3.

	x1 x2 2x3 x4 1,
			x2	x3 3x4 2,
28.	2x1
		4x	x	5x x 0,

		1	2	3	4
	x 2x x 4x 3.
		1	2	3	4
	x1 x2 2x3 x4 8,

30.	x1 x2 x3 2x4 5,
			x2	3x3 4x4 11,
	3x1
	4x 2x x 7x 7.
		1		2 3	4

Завдання 8. Для однорідної системи знайти фундаментальну систему розв’язків:

	x1 x2 x3 x4 0,					x1 x2 x3 x4 0,
		3x2 x3 x4 0,						2x2	x3 x4 0,
1.	2x1				2.	3x1
		x2 x3 x4 0,						4x2	3x3 3x4 0,
	4x1					5x1
	x 4x 2x 2x 0.					5x 3x x x 0.
	1	2	3	4			1	2	3	4
	x1 x2 x3 x4 0,					5x1 6x2 2x3 7x4 0,
								3x2	x3 4x4 0,
3.	x1 x2 2x3 0,				4.	2x1
		2x2 3x3 x4 0,						3x2	x3 3x4 0,
	2x1					3x1
	x x x 3x 0.					5x 9x 3x 13x 0.
	1	2 3	4				1	2	3	4
							32

3x1 4x2 x3 2x4 0,
			7x2 x3 3x4 0,
5x1
5.	2x		3x			x 0,

		1		2			4
x		2x			x		0.
	1			2		3
	2x1 4x2 5x3 3x4 0,
			2x2 x3 2x4 0,
7.	x1
				2x2 4x3 x4 0,
	3x1
	4x			3x		x 0.
			1		3		4
	3x1 5x2 2x3 2x4 0,
			x2 4x3 3x4 0,
9.	x1
				7x2 6x3 4x4 0,
	5x1
	2x 4x 6x 5x 0.
			1			2	3	4
	x1 x2 x3 x4 0,
				3x2 5x3 6x4 0,
11.	2x1
				4x2 4x3 7x4 0,
	3x1
	5x 7x 9x 13x 0.
			1			2	3	4
	2x1 x2 5x3 7x4 0,
				2x2 7x3 5x4 0,
13.	3x1
		x	3x 2x 2x 0,

		1		2			3	4
	4x 5x 9x 3x 0.
			1			2	3	4
	x1 3x2 x3 5x4 0,
				5x2 2x3 x4 0,
15.	2x1
				8x2 x3 4x4 0,
	3x1
	4x 11x 9x 0.
			1			2	4
	x1 2x2 6x3 10x4 0,
				x2 3x3 x4 0,
17.	2x1
				4x2 8x4 0,
	5x1
	8x 7x 3x 17x 0.
			1		2		3	4
	x1 x2 x3 3x4 0,
			5x2 3x3 4x4 0,
19.	x1
				3x2 5x3 2x4 0,
	3x1
	2x 4x 4x x 0.
			1			2	3	4

	x1 x2 4x3 2x4 0,
				5x2		6x3 4x4 0,
	3x1			5x2		6x3 4x4 0,
	6.	2x		3x		5x 3x 0,
		2x		3x		5x 3x 0,
			1		2		3		4
	x 2x x x 0.
		1			2		3	4
		3x1 2x2 x3 3x4 0,
						x3 2x4 0,
	8.	2x1 x2				x3 2x4 0,
	8.	x		3x		5x		0,
		x		3x		5x		0,
			1		2		4
		x 4x x 7x 0.
			1		2		3		4
		3x1 x2 4x3 4x4 0,

	10.	2x1 3x2 2x3 5x4 0,
	10.		x	4x		6x x 0,
			x	4x		6x x 0,
			1		2		3		4
		x 7x 8x 6x 0.
			1		2		3		4
		x1 x2 3x3 2x4 0,

	12.	3x1 2x2 x3 3x4 0,
	12.		4x x			2x x 0,
			4x x			2x x 0,
				1	2		3		4
		2x 3x 4x 5x 0.
				1		2		3	4
		2x1 2x2 3x3 x4 0,
				3x2		6x3 2x4 0,
	14.	x1		3x2		6x3 2x4 0,
	14.
		3x1 x2				3x3 x4 0,
		4x 4x 9x 3x 0.
				1		2		3	4
		5x1 2x2 11x3 6x4 0,
				4x2		9x3 6x4 0,
	16.	x1		4x2		9x3 6x4 0,
	16.		2x		3x		x	0,
			2x		3x		x	0,
				1		2	3
		3x x 10x 6x 0.
				1	2		3		4
		x1 7x2 2x3 2x4 0,

	18.	2x1 6x2 3x3 x4 0,
	18.
		3x1 x2				5x3 3x4 0,
		4x 8x 7x 5x 0.
				1		2		3	4
		x1 x2 x3 x4 0,
						5x3 2x4 0,
	20.	2x1 x2				5x3 2x4 0,
	20.		4x		3x		7x		0,
			4x		3x		7x		0,
				1		2		3
		3x 2x 6x x 0.
				1		2		3	4
			33

	x1 3x2 2x3 3x4 0,
			3x3 x4 0,
21.	2x2
		2x	8x 7x 5x 0,

		1	2	3	4
	x 5x 5x 2x 0.
		1	2	3	4
	x1 3x2 12x3 6x4 0,
			8x2 17x3 13x4 0,
23.	2x1
			11x2 5x3 7x4 0,
	3x1
	4x 14x 7x x 0.
		1	2		3 4
	x1 3x2 x3 2x4 0,
			x2 2x3 5x4 0,
25.	3x1
		4x	2x x 3x 0,

		1	2	3	4
	2x 4x 3x 7x 0.
		1	2	3	4
	5x1 3x2 x3 x4 0,
			2x2 3x3 5x4 0,
27.	4x1
		x x 2x 4x 0,

		1	2	3	4
	2x 7x 13x 0.
		1	3		4

2x1 7x2 12x3 5x4 0,

29.x1 x2 7x3 4x4 0,3x1 8x2 5x3 x4 0,x1 6x2 19x3 9x4 0.

	x1 4x2 12x3 8x4 0,
			7x2 10x4 0,
22.	2x1
			11x2 12x3 2x4 0,
	3x1
	x 3x 12x 18x 0.
		1	2	3	4
	2x1 12x3 3x4 0,
			x2 7x3 x4 0,
24.	3x1
		x x 5x 4x 0,

		1	2	3	4
	4x 2x 2x 5x 0.
		1	2	3	4
	4x1 3x2 x3 2x4 0,
			x2 2x3 3x4 0,
26.	2x1
		2x	4x 3x 5x 0,

		1	2	3	4
	6x 7x 4x 7x 0.
		1	2	3	4
	3x1 4x2 x3 7x4 0,
			2x2 2x3 5x4 0,
28.	4x1
		2x	6x	9x	0,

		1	2	4
	x 2x x 2x 0.
		1	2	3	4
	3x1 2x2 x3 2x4 0,
			10x2 7x3 2x4 0,
30.	5x1
		x 4x 4x 2x 0,

		1	2	3	4
	4x 6x 3x 0.
		1	2	3

34

<<< < Предыдущая 1 2 34 / 44

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