Is the following system of equation consistent? If so, determine which variables are free variables in the system of linear equation. X1 + 3x2 - 2x3 + 2x5 = 0 2x1 + 6x2 - 5x3 – 2x4 + 4x5 = -1 5x3 + 10x4 = 5 %3D

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

A: We plug the given equations into a calculator.

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: Given, x-3y=5         .......13x-9y=15         .......2

Q: Refer to the System of Linear Equations below. 4x1- X2- X3 -D3 -2x1 +6x2 +X3 -9 -X1 +X2 +7xg =-6…

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Q: Solve the following systems of linear equations:

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Q: Consider the three systems of linear equations: 2x1 + 3x2 + x3 + 4x4 0 (C) 4x1 + 6x2 + 2x3 + 8x4 4x1…

A: In the given question we have to tell about equivqlent system of linear equation.but before the…

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: The two equations are: 5x-4y=11 4x+5y=12 Therefore comparing to the general equation of anx+bny=cn…

Q: Consider the system of linear equations below: x - y - z = 2 x + 2y + 3z = 4 2x - 2y - 2z = 5 Use…

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Q: Find A and b such that Ax = b corresponds to the given linear system. 6x1 – 6x2 = -4 - 5x1 + 7x2 =…

A: Given system, 6x1-6x2=-4-5x1+7x2=-9-7x1+2x2=3

Q: What value of b would make this linear system consistent. x1 − 3x2 − 6x3  =  -3 6x1 − 5x2 − 5x3  =…

A: Given : The linear system is :         x1-3x2-6x3=-3      6x1-5x2-5x3=-9-11x1+2x2-8x3=b…

Q: Consider the following augmented matrx of a linear system of equations Axb. For which values) of h…

A: I have Provided this answer in step-2.

Q: Consider solving the linear system x3 + 2x4 4.x1 + 5x2 – 3x3 + 6x4 -2x1 + 5x2 – 2x3 + 6x4 4.x1 +…

A: Given system of linear equations can be rewritten as matrix form 21-1245-36-25-26411-48x1x2x3x4=5942…

Q: Solve the given system of linear equations using the Gauss- Jordan Elimination. 2.) 2x1 - 2x2 + x3…

A:

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: Given: 5x-y=6   ...(1) 10x-2y=19   ...(2)

Q: Determine the value of b that would guarantee that the below linear system is consistent. x1 - 3x2 –…

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Q: Determine the values of k such that the following system of linear equation does not have a unique…

A: For system of linear  equations do not have unique solution then  Determinant is zero. i.e |A| = 0…

Q: Find the general and a particular solution of the system of linear equatic X1 +2x2-X3 + 3x4 2x, +…

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Q: What will the value of k be that would make this linear system is consistent? x1 − 4x2 − 6x3  =  -4…

A: To find The value of k is the given linear system is consistent. x1-4x2-6x3=-4 5x1-6x2-5x3=-8…

Q: Solve the linear system using Gaussian Elimination with Back Substitution: 3x+6y+5w-3z=96/5…

A: Given: The linear system of equations…

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: 4x+3y=72x-y=10 Here, a1=4,  b1=3,  c1=7,  a2=2,  b2=-1,  c2=10.

Q: Solve the following system of linear equations using Gaussian elimination: 4x + 8y - 4z 4 3x + 8y +…

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Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: The given system is4x-3y=79x+2y=5

Q: What condition, if any, must a, b, c, and d satisfy for the linear system to be consistent? X1 + 2x2…

A:

Q: Consider the three systems of linear equations: 2x1 + 3x2 + 3 + 4x4 (C) 4.x1 + 6x2 + 2xz + 8x4 2 4x1…

A: Two system are equivalent if they have same solution.

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: We have been given the equations  x+2y-z=-6        y-3z=-16x-3y+2z=14

Q: Find the value of h, if the given linear system of equations: x, +3x, = -2, 2x; + hx, =-3, has…

A:

Q: Determine if the following system of linear equations is consistent or inconsistent.   3x + 2 y -…

A: If a consistent system has an infinite number of solutions, it is dependent . If a system has no…

Q: Determine for which values of a the following linear system is consistent.x + 2y + 3z = 13x + 4y +…

A: Consider the given system of linear equations,

Q: Find the value of x, in the unique solution of the given linear system. 3x4 + X4 = 7 3x 3 3x1 3x2…

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Q: Solve the following system of linear equation. 2x. 3x, +4x2-2x3= - 3 X, + 7x2-5x3=6, By Crouts…

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Q: What is the solution set of the give linear system? x+2y = -3 x-2y = 0

A:

Q: Refer to the System of Linear Equations below. 4x1 - X2- X3 = 3 -2x1 +6x2 +X3 = 9 -X1 +x2 + 7x3 = -6…

A: Note that you have not indicated what method is to be chosen for iteration, so I am choosing the…

Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 = -38 —3x, — х, + 7х,…

A: For easy understanding let x1 = ax2 = bx3 = c So the given equations are 2a-6b-c=-38  -3a-b+7c=-34…

Q: Solve the following homogeneous system of linear equations: 2x7-6x2-4x3+2x4 %3D X1-3x2-x3 = 0…

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Q: Which of the following is an example of a linear system of equations? O 5x2 +6y = 13 6x - 12y = 14…

A: Proceed as explained below...

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: This question is belongs to the system of equations, it can be solved by the matrix method since the…

Q: Find the value of x2 in the unique solution of the given linear system. - 3x4 = 3 + 2x3 + X4 = 0 +…

A:

Q: What is the solution set of the give linear system? x+2y= -3 x- 2y = 0

A: The system of equations are x+2y = -3                             ........1 x-2y = 0…

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: Given system of equations are  x-y+2z=2    ....(1)3x+y+5z=8  ....(2)2x-y-2z=-7  ....(3)

Q: Reduce the following system of linear equations into echelon form and solve it: x1 + 2x2 + 3x3 + 4x4…

A: The given system of linear equations can be written in a matrix form as below:…

Q: solve the following system of linear equations using an LU factorization: x1 + x2 + x3 = 1 x1 +…

A:

Q: Obtain an approximate solution for the following system of linear equation: 2x1 + x2 + x4 = 3 X1 -…

A: Given:

Q: X1 + 2x2 +3x3 + 4X4 = 1 2x1+4x2 +6x3 + 5x4 = 0 3x1 + 4x2 + X3 + X4 = 0 4x1 + 6x2 + 4x3- X4 = 0

A:

Q: 2. Determine if the following linear system is consistent. Do not completely solve the system. 2x1 -…

A: Linear system of the form Ax=b ρA:b=ρ(A)=number of variables⇒Unique solutionρA:b=ρ(A)<number of…

Q: 2. Solve the system of linear equation as follows: x3 + 2x4 4.x1 + 5x2 – 3x3 + 6x4 -2x1 + 5x2 – 2x3…

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Q: Determine whether the system of linear equations is inconsistent or depenc 2y + бу X - 5z = -2x+ 11z…

A:

Q: 1. Solve the following linear system of equations. 4x1 + 4x2 - x3 + 2x4 + x5 = 0 3x1 + 3x2 – x3 +…

A: See the detailed solution below.

Q: Determine if the following system of linear equations is consistent or inconsistent. Зх +2у-5z %3D 4…

A: Definition - A system of linear equations is called inconsistent if it has no solutions. A system…

Q: Consider the three systems of linear equations: 2x1 + 3x2 + x3 + 4x4 (C) 4x1 + 6x2 + 2x3 + 8x4 2 4x1…

A: