Consider the following system of linear equation 2x1 + 3x2 + 4x3 + x4 = 14 4x1 + 1x2 + 1x3 + 5x4 1x1 + 2x2 + 1x3 + 6x4 = = = 23 29 A) Find all basic solutions x= (x1, x2, x3, x4) obtained with B=[a2,a3,a4], i.e., the last three columns of matrix A of the linear system above. Then, FOR EACH BASIS, set XN (the non basic variable) something other than zero and obtain a solution which is NOT basic.

Q: It has been twenty-plus years since I graduated high school and completed any type of math courses…

A: First of all, you took the wrong example of linear equation, because here 10x will be cancelled out…

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A: We have to solve given problem:

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A: Given x1+x2=2x1-x2=2i

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Q: Solve the following system of linear equations S2x, + x2 - x3 = 2 lx2 - x3 + 3x4 = 0 1) x1 = 1+s; x2…

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Q: 3.) Solve the system of linear equations using LU factorization: X₁ + 2x₂ +4x3 =1 3x₁ + x₂ + x₂ = 0…

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Q: Consider the following linear system of equations a₁₁x₁ + a₁2x₂=b₁ a2₁x₁ + a22x₂=b₂ to carry out and…

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Q: A) Solve the system of linear equations given by 2 X1 + 4 X2 + 6 X3 = 22 3 X1 + 8 X2 + 5 X3 27 - X1…

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Q: lve the problem. -1 -6 22) Let a1 = 1 a2 = and b = -22 -2 -20 Determine whether b can be written as…

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Q: Suppose the solution set of a certain system of linear equations can be described as ×₁ = 6+5x3, x2…

A: Step 1: Step 2: Thank you.  Step 3: Step 4:

Q: Consider the system of linear equations: -x1 + 2x2 + 3x3 + x4 = 3 2x1 - 4x2 + x3 + 2x4 = -1…

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Q: Choose Gauss Jordan to solve for the unknown variables of linear equations X1 + X2 + X3 = 5 X1 + 2X2…

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Q: A set of linear equations is: 5x - 2y + 3z = 16 and 19y - 7z+ 10 = 18 and 10z + 8y = 1. What are the…

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Q: [X₁ + x₂ + x3 x4 3x1 +5x22x3 + x4 -3x₁7x₂+7x35x4 1+3x2 - 4x3 + 3x4 = 3 = 1 = 7 = -5.

A: The given system of equations

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: (.) The given matrix is,              and system is,          (.) LU factorisation: In LU…