Use 3 iterations Use Gauss-Seidel iteration to find the root x(3) = (x, 6), x,, x3) X2 of the following system of equations with initial guess x(0) = (0,0,0) %3D 12x, +3x2-5x3 =1 X1+5x2+3x3= 28 3x,+7x2+13x3 = 76 %3D %3D

Q: Solve the system of linear equations as shown using ,2. Jacobi method, X1 - 3x2 + X3 = 49.06 %3D 4x1…

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Q: Return this to the familiar linear system 2х1 + х2 — ӕз + 2х4 3x2 – x3 + 2x4 -x3 + 4x4 = 2x4 -1 11…

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Q: * Solve the system by cramer's rule and find (X) 8X+ 5y = 2 2X-4y = - 10 X=- 1 X= 4 a O X= 42 None…

A: Given 8X+5y=2           2X-4y=-10 Then  ∆=852-4=-32-10=-32-10=-42 ∆X=25-10-4=-8-(-50)=-8+50=42

Q: Use Gaussian elimination to solve the following system x₁ + 3x₂5x3 = 2 3x₁ + 11x29x3 = 4 -x₁ + x₂ +…

A: The Augmented matrix of the given system is Lets use Gaussian eimination (row operations) to solve…

Q: 10x1 + 2x2 - X3 = 27 -3x1 - 6x2 + 2x3 = -61.5 X1 X₁ + X2 + 5x3 = -21.5

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Q: 2x1 + 4x2 – X3 -X4 =10 4x1 + 2x3 + X4 = 1 X1 +3x2 -2x3 = 3 Зx1 +2x2 +5х4 %32

A: Given that :- Set of equations ,      2x1+4x2-x3-x4=104x1+2x3+x4=1x1+3x2-2x3=33x1+2x2+5x4=2

Q: Solve the linear system 3r₁ + 2r-r₁ = 11, 2x₁ + x₂ + 2xy = 9, #1-2x₂+2r₁ = -2 by using the reduced…

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Q: Apply Gauss-Seidel iteration method to solve the following system of equations correct to 2D: 3x, +…

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Q: x, + 2x, + 5x, - x, = -1.75 X - 6x, + x, + x, + x, = 9.25 – 5x, + x2 - X, + X, + X; = 4.25 2x, - x,…

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Q: XI +2 x2-X3=1 | 3X, -22z +2X3= 2 7X1 -2X2 +3x3=5 Find Solution of system linear by using Gaussian…

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Q: Solve the system of equation below. Modulus of each unknown. Given : 3u + (1 – i)v+ (3 + 4i)w = (46…

A: Given that 3u+1-iv+3+4iw=46+31-i 5+2iu-6+2iv-2+5iw=-34-63+i66-23 3iu+5v+21+iw=51+3-17i To find w-v-u

Q: = 1.569 0.0003x, +1.566x, 0.3454.x, – 2.436x, Consider the following system of two linear equations:…

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Q: Q2 // Calculate X1, X2 ,X3 from the fallowing equations by using Gauss Elimination method. 3x1 + x2…

A: Gauss Elimination Method: The Gaussian elimination method is known as the row reduction algorithm…

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

A: The given system of equations

Q: O K+ ty-3Z-3=0 2x-y-2- . 3X

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Q: Solve the system: x1 + 2x2 – x3 = 2 x2 + x3 – 2x4 = –3 2x1 + 4x2 + x3 – 3x4 = –2 x1 – 4x2 – 7x3 –…

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Q: 5x, + x, + x, + X; 2х, - х, + х, + бх, = 11.25 X, + x, + 4x, - x, = 7 X, - 7x, + x, - x, + x, =…

A: For convenience we take x1=u, x2=v, x3=x, x4=y, x5=z.

Q: Use Gauss-Jordan elimination to solve: X = > X, = X3 = 2.x, X2 X3 = 2 4x, + 3x, — 2х, %3D-1 1+4x,+…

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Q: solve 1x + 2y + 3z = 1 2x + 3y + 1z = 2 3x + 1y + 2z = 3 using gauss elimination method. %3D

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Q: Apply Gauss-Seidel iteration method to solve the following system of equations correct to 2D: 3x,…

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Q: Method: X - 2r, - x- 2x, = 3x, - 5x, - 2x3 2x, - 5x, - 2x,- 5x, = -1 -x+ 4x, + 4x, + 11x, = 0. 3x4 =…

A: The method of solution used is Crout's method of LU decomposition. In this method we decompose our…

Q: let A nonsingular matrix, k positive integer then (A5 Select one: k+1 k-1 b. (A,*1

A: As per the policy i can solve only first question for you, fore remaining question you can post them…

Q: 2. Use Gauss elimination with back substitution to solve the system of linear equations: 8x, +x,…

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Q: Use Jacobi and Gauss-Seidel Methods to solve the system of equations below: 10x1 – x2 + 2x3 = 6 -…

A: Note: We are entitled to solve the question by one method only. As the specified Method is not…

Q: Solue system using augmented matrisc M: X, + 2xz -3x3-2xy +4><5=1 2x, + 5x2 -8x3 -)C4t Gocs =4 +…

A: x1+2x2 -3x3- 2x4 +4x5 = 1x1+5x2 -8x3- x4 +6x5 = 4x1+4x2 -7x3- 5x4 +2x5 =5

Q: * solve the system of equations by jacobi's iteration method 10a -2b-c-d=3 -2a+10b-c-d=15…

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Q: Answer the following using Jacobi Method. Show complete solutions. 2. 9x1 - 13x2 + 4x3 = 111…

A: The given system of equations are., 9x - 13y + 4z = 1114x + 22y - 13z = -1288x + 8y + 17z = 10Where…

Q: X2 + 4x4 - 2x5 = -2 X1+ 3x3 - X4 = 14 4x1+ X3 + X5 = 32 2x1+ 5x2 - X3+ X4 = 19 %3D %3D X1 - X3 + 5x,…

A: This method is used to find the solution of simultaneous linear equations by approximation method

Q: 5- Solve the system using the Gauss-Jordan elimination method: a- 3x, + x2 - 2x3 = 2 x1-2xz+ x3=3…

A: Explanation of the solution is given below..