Задание 3.2.2. Умножение матриц, решение систем уравнений

1. Найти произведение матриц:

-6	-7			* * ; * *						-8	-12		-2	-6
						-4
				-3		; 12		-2				-6
-5	-3				-5			-1

2. Решить системы уравнений:

x₁ – x₂ + x₃ = 3, x₁ + 2x₂ + 3x₃ – 2x₄ = 6, 2x – 3y + z –2 = 0,

2x₁ + x₂ + x₃ = 11, 2x₁ + 4x₂ – 2x₃ – 3x₄ = 18, x + 5y – 4z + 5 = 0,

x₁ + x₂ + 2x₃ = 8. 3x₁ + 2x₂ – x₃ + 2x₄ = 4, 4x + y – 3z + 4 = 0.

2x₁ – 3x₂ + 2x₃ + x₄ = – 8.

3x + 2y + z = 5, x – 2y + 3z = 6, 4x – 3y +2z = 9,

2x + 3y + z = 1, 2x + 3y – 4z = 20, 2x + 5y – 3z = 4,

2x + y + 34z = 11. 3x – 2y – 5z = 6. 5x + 6y – 2z = 18.

x + y + 2z = – 1, x + y + 2z = – 1, 2x – y – z = 4,

2x ­– y – 3z = 4, 2x – y + 2z = – 4, 3x + 4y – 2z =11,

5x + 6y – 2z = 18. 4x + y + 4z = – 2. 3x – 2y + 4z = 11.

3x + 4y + 2z = 8, 4x + 7y – 3z = – 10, – 3x + 6y + 8z = – 7,

2x – y – 3z = – 4, 2x + 9y – z = 8, 9x – 11y – 15z = – 15,

x + 5y + z = 1. x – 6y + 3z = – 3. 18x – 22y + 3z = – 3.

3. Умножить матрицу на число.