Solve the system of linear equations and check any solution algebraically. 3x +3y = 0 6x + 3y – z = 0 12x + 3y +3z = 0 (3, 6, 12) (3, 6, – 12) O (-3, 6, 12) (0, 0, 0) (-3, 6, – 12)

Q: UseGauss Elimination and to solve the following linear equations. X1 + x2 - x3 = -3 6x, + 2x2 + 2xz…

A: make a matrix for the system of linear equations as follows 11-1622-341x1x2x3=-321 operate R2→R2-6R1…

Q: X1 + 2x2 – 3x3 Find the value of k for which the system of equations 3x1 – x2 – 2x3 2x1 + 3.x2 –…

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Q: Use Cramer's rule to compute the solutions of the system. 2x₁ +7x₂=8 6x₁ + 3x₂ = -12 What is the…

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Q: Use a software program or a graphing utility to solve the system of linear equations.

A: Consider the given equations,

Q: X1 - x2 = 5 X2 - X3 = -3 2x1 – x3 = 3 2x2 – 2x3 = -6 -9-

A: here we will find solution of linear equations ,

Q: 4. Using elimination, solve the system 3 3x+4y =1 2x + 3y = 3 Give the pivot and multiplier.

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Q: Solve by Gauss-Jordan elimination. + 2x5 2х, + 6х, — 5х, — 2х4 + 4xs 5x3 + 10x4 X + 3x, — 2хз = 0…

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Q: Find the solution to the system of equations.

A: The given graph is as follows:

Q: || Solve the system +S 5x₁ -4x2 +3x3 +3x3 +6x3 -3x2 -9x3 -X1 +t 4x1 3x1 +X2 -3x2 +4x4 = +2x4 +6x4…

A: The Augmented Matrix of the given systemLets use Gaussian Eimination to find its row reduced echelon…

Q: Determine if (1,3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5

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Q: 9. Consider the matrix -1 3 A = -4 2 k 4 -2 6. (a) If A is the augmented matrix of a system of…

A: Since not a particular question asked as per guildlines solution to only first question is given…

Q: Justify your answer. Which of the following sets of linear equations cannot be solved using an…

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Q: Consider the system of equations Find all basic solutions. x1 01 x2 -1 2 x3 x4 [21 1 12 = 2

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Q: Help use elimination to find all solutions of the system in image attached

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Q: 2w + 3x 4y + 3x + x - 3y Зу + x + y -2w -11 w + y -4 N N N N 3.

A: given , system of equation 2w+3x-4y+z=9w-3x+y-z=5-2w-x-3y+z=-11w+x+y-3z=-4 it can be written as AX=b…

Q: 12. Solve the system linear equations. X₁+x₂-3x3-X₂ = 1, {x₁+3x₂-9x3-7X4=1, (3x₁+x₂-3x3 + 3x₁ = 3.

A: Please find attachment

Q: Justify your answer. Which of the following sets of linear equations cannot be solved using an…

A: Gauss Seidel Method is one of best iterative method to solve set of linear equation. The method…

Q: Solve the following system of linear equations in the two unknowns X1 and x2. 1x₁ + 2x₂ = 3 = 6 4x₁…

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Q: 1. Solve system of the linear equations, using LU factor- ization method. Write clean, and clear.…

A: The given problem is to find the solution for the given system of linear equations using LU…