Consider the reduced row-echelon form of the augmented matrix of some system of linear equation in x1 , x2 , x3 , x4 , x5 , x6 given by 1 0 0 -1 -8 -1 1 10 1 -1 1 1 -1 1 12 0 0 0 0 Suppose that the solutions satisfy the constrains ¤1 > 0, x2 > 0, x3 > 0, x4 > 0, x5 > 0, x6 > 0. If x3=0, then what is the minimal possible value of x6? 18 6. 14

Q: 4. Find an equation involving g, h, k that makes the augmented matrix 1 0 -4 7 9 3 -5 h 5 -9 k -2…

A: Given: The augmented matrix is 1-47g03-5h-25-9k. To find: The equation having g, h, and k, and makes…

Q: 1 Solve the system x +z = 1 x + 2y = 2 x +y +z = 0 in Zą. Indicate clearly all row operations used.

A: This question is from Algebra

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A: To prove that the elementary  row operations               Ei+λEj⇒Ei           and           Ei⇔Ej

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A: We need to find L.

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Q: 3. Consider the following system of equations S2r1 - 2r2 - 4r3 + 2r4 = -6 (++2#2+23+ a = -8 (a)…

A: We have to write the augmented matrix for the system, and use Gauss-Jordan elimination method.

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Q: Consider the following system of equations *,+x,- 3x,=3 2x, – 3x,+ 4x,= - 4 By using Gauss…

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Q: 1. Find the co-efficient matrix for the given linear equations 4x1 - 3x3 + X4 = 1 5x1 + x2 - 8x4 =3…

A: We use the definition of the coefficient matrix to find the answer of the given question.

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