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Twinsister11
@Twinsister11
August 2022
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Решить системы уравнений с помощью теоремы Капелли или методом Гаусса .Найти - общий и один из частных решений.
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Segrif
Метод Гаусса
2x1 - 3x2 + 5x3 + 7x4 = 1
4x1 - 6x2 + 2x3 + 3x4 = 2
2x1 - 3x2 - 11x3 - 15x4 = 1
2x1 - 3x2 + 5x3 + 7x4 = 1
-8x3 - 11x4 = 0
-16x3 - 22x4 = 0
2x1 - 3x2 + 5x3 + 7x4 = 1
8x3 + 11x4 = 0
x3 = -11/8 x4
x1 = 1/2 + 3/2 x2 - 1/16x4
Или в другой форме
x1 = 2 - a + 3b
x2 = 1 + 0 - 2b
x3 = 0 - 22a + 0
x4 = 0 + 16a + 0
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Answers & Comments
2x1 - 3x2 + 5x3 + 7x4 = 1
4x1 - 6x2 + 2x3 + 3x4 = 2
2x1 - 3x2 - 11x3 - 15x4 = 1
2x1 - 3x2 + 5x3 + 7x4 = 1
-8x3 - 11x4 = 0
-16x3 - 22x4 = 0
2x1 - 3x2 + 5x3 + 7x4 = 1
8x3 + 11x4 = 0
x3 = -11/8 x4
x1 = 1/2 + 3/2 x2 - 1/16x4
Или в другой форме
x1 = 2 - a + 3b
x2 = 1 + 0 - 2b
x3 = 0 - 22a + 0
x4 = 0 + 16a + 0