Gauss – Jacobi and Gauss – Seidel Method 12x1+3x2−4x3+x4=10 4x1+9x2+2x3−2x4=20 2x1−3x2+10x3+x4=30 −3x1+2x2−3x3+12x4=40

Q: Use Gauss Elimination Method and Alghazali Technique to solve:3x1 – 2x2 + x3 = 1; 2x1 – 3x2 + 4x3 =…

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Q: 2x2 + x3 = 9 , 3x3 – x1 = – 4 , 2x1 – 4x3 – 5x2 =0 , 3x2 – 2x3 =5 put the equation team into the…

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Q: Grom -Schmidt process and prove solve with 4 -2 こ A 4 -1 A)

A: The solution for the above question is as shown below.

Q: Perform Gauss Seidel method one iteration to find x1, x2, and x3 for the following system (Initial…

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Q: Use the Gauss-Seidel method to obtain the solution. 3x1 – 0.1x2 – 0.2x3 = 7.85 0.1x1 + 7x2 – 0.3x3…

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Q: 2 OSolvethe equation Flx=2x+3X-2 start withX-0-5(use Iterotion method)

A: Here we are going to use Newton-Raphson iteration method

Q: Newton Raphson method Solve: y2-5y+4=0 and 3yx2-10x+7=0 with (x0,y0)=(0.5,0.5)

A: The solution to the nonlinear system of equations can be obtained using the multivariable Newton…

Q: samples t-test is calculated by: Group of answer choices taking the sample size of one group and…

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Q: Gauss sediel method and jacobi method is the same?

A: We have to see how gauss Jacobi is different with gauss sediel method .

Q: method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + —…

A: There are three iteration given. Gauss Seidel method can be used.

Q: 5x1 + 2x2 + 4x3 = 37 2x1 - 7x2 +2x3 = 30 3x1 + 2x2 + 5x3 = 20

A: Given:

Q: Using the Jacobi Method to solve the simultaneous qequations 3x1 -X2+X3 = 1 3x1 +6x2 +2x3 = 0 3x1 +…

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Q: Q3: Solve this system of equations using Jacobi's Method 10x1 - x2 +2x3 -x +11x2- x3 + 3x4 25 2x1 -…

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Q: 3. 2x₁ - x₂ x2 2 x₁ = 3x₂ + x3 = -x₁ + x₂ - 3x3 5. Apply the Gauss-Seidel method to Exercise 1. 6.…

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Q: The value of k. * 0.7472 REFERENCE EQUATIONS 0.7572 0.7772 x- 4y – 2z - v - 2w + 2u – 5k + 5t = 10…

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Q: Q3: Solve this system of equations using Jacobi's Method 10x1- x2 +2x3 = 6 -x, +11x2- x3 + 3x4 = 25…

A: Write the general equations for the variables by eliminating one variable in each equation. Use each…

Q: Newton-Raphson Method

A: Given: The function F(x)=x-2 sinx To find: Using the Newtons Rapson method to solve given equation.…

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 0.02z1 - 0.05z2 = -0.19…

A: Consider the given system of equations, 0.02x1-0.05x2=-0.190.03x1+0.04x2=0.52 So, the matrix form of…

Q: Numerical Analysis Question 9x1-2x2+3x3=37 2x1+8x2+3x3=28 3x1-2x2+7x3=32 Solve this question by…

A: We can rewrite the given equations as following:…

Q: Q.4// Use Big-M method to solve the Mathematical model (Stop at Table 3) Max Z = X1 + 3x,+ 4x3+ 5…

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Q: A Beverton-Holt model for a fish population is described by the DDS 3.07Pn Pn+1 1+ 0.003Pr with Po…

A: We are given an equation which represents Beverton - fish model for fish population.

Q: Use the Gauss-Seidel method to find approximate solutions to -1 +3x2 +x3 = 5 2x1 + 2x2 +5x3 1 4x1 +…

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Q: Using Talse Pasition Method 手(x) = - 2x@-1.6xナ12x+1 %3D

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Q: Using JACOBI ITERATION and GAUSS-SEIDEL METHOD solve the variables x y and z in just 8th iteration…

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Q: Gauss elimination and Gauss-Jordan Explain and compare which method is better.

A: let's compare this two method.

Q: Using [x1 x2 x3] = [1 3 5]as the initial guess, the value of [xi x2 x3] after three iterations in…

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Q: example using Gauss Jacobi method with complete solution.

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Q: Qala) what the theme oh Operation Research? is (6) Consider LP model : Max z= 4x, +3 X2 %3D S.t 2X1…

A: The theme of operation research is the effective control and maintaining of operational systems in…

Q: Q.4// Use Big-M method to solve the Mathematical model (Stop at Table 3) Max Z = x1 + 3x2+4x3+ 5…

A: Max Z =     x1 + 3 x2 + 4 x3       subject to   4 x1 + 3 x2 + 2 x3 +   x4 ≤ 10     x1…

Q: Using [x1 x2 x3] = [1 3 5] as the initial guess, the value of [x1 x2 x3] after three iterations in…

A: Gauss Seidel Method to find out the solution of system of equations. Let  us rewrite the system of…

Q: Determine the value of x1,x2,x3 using Gauss-Seidel Method. 2x1 − 3x2 + x3 = −18 −9x1 + 5x2 + 3x3 =…

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Q: 2 -2 a) Evaluate by Chio's method -2 1 1 0 -1 0

A: Solution is given below:

Q: Ax) = x + 3r³ – 4x* + 4x° – 3x + 5 + 3x° 3 -

A: We have to use regula false method.

Q: 5. This method is also called the method of successive displacement. a. Gauss Elimination method b.…

A: We want to know other names of successive displacement method.

Q: 3. 2x₁ - x₂ 4. 4x₁ + x₂ + x3 = 2 7 x₁ = 3x₂ + x3 = -2 = x₁ - 7x₂ + 2x3 -2 + 4x3 -x₁ + x₂ - 3x3 3x₁ =…

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Q: using Gauss - Jordan Method X1+ 2x2 + x3 = 12 x1 – 2x2 + x3 = 0 X1+ x2 - x3 =-1

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Q: 4x-12y+7z=10 x-4y+2z=4 -4x+11y-7z=-6 Use the gauss method and show every step please

A: The given system of equations,4x-12y+7z=10x-4y+2z=4-4x+11y-7z=-6

Q: Simplen methool Use lineas porogramming Simplex method ž = #x, + 2X_ mamimize Sul Subjectad to =…

A: The problem is written asMax z=7x1+2x2⇒z-7x1-2x2x1+x2+S1=54x1+2x2+S2=75x1+x2+S3=6for x1, x2≥0…

Q: using Gauss - Jordan Method 2x1 + 3x2 – x3 = 1 3x1 + x2 - X3 = 0 X1 + x2 + 4x3 18 %3D

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Q: Answer the following using Jacobi Method. Show complete solutions. The answer should have atleast 5…

A: Given  9x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10

Q: False Position Method and Secant Method f (x) = 3x2 – 2x – 4 e: 1) Start with initial guess X = 1 2)…

A: Given equation is f(x)=3x2-2x-4 Here at x0=1, f(1)=-3<0 at x1=2, f(2)=4>0 So root lies between…

Q: 4x1 +2x2 + X3 = 11 -X1 + 2x2 = 3 2x1 +X2 + 4x3 = 16 The first iteration by using Gauss-Seidel method…

A: Given system of equations are: And initial approximation

Q: a. Show that the particular solution is y = 3x2 (In xº + x³ + 2). b. Use the 2nd, grd and 4th…

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Q: Applying Gauss -Jordan method solve the LSE: Xị + 2x2 – x3 – 2x4 = 3, xị + 2x2 – x3 – 2x4 = 1, %3D…

A: Given system of linear equation x1+2x2−x3−2x4=3x1+2x2−x3−2x4=12x1+x2+x3−4x4=−1.........1 Write the…

Q: When Newton's method with x(0) = system of equations given by 4x₁²x² = 0, = (1, 1)' is used to…

A: Given the system of equations: 4x12-x22=04x1x22-x1=1 With initial guess x(0)=1,1t Using Newton's…

Q: Using Jacobi iteration and Gauss-Seidel Method solve the variables x y and z in just 8th iteration…

A: Given Equations,2x-4y-3z=8.993x+6y+5z=-15.275x+5y-4z=5.11 From the above equations,xk+1…

Q: Using [x1 x2 x3] = [1 3 5] as the initial guess, the value of [x1 x2 x3] after three iterations in…

A: Using the initial guess x1,x2,x3=1 3 5, We have to find the value of x1,x2,x3 after three iterations…

Q: 4. 8x1 + x2 – x3 = 8 2x1 + x2 + 9x3 = 12 X1 – 7x2 + 2x3 = -4 Solve equation system by using SOR…

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Q: Activity no.2 Find x, y, and z, by Jacobi Method. 3x + 2y + z = 4 2x + y - 3z = -3 4x + 3y + 4z = 9

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Q: using Gauss - Jordan Method 3x2 – x1 + x3 = -1 4x1 + X3+x2 = 1 5x1 + 2x2 – x3 = -4

A: Solving the problem by gauss elimination, the row changes are given by the arrow see that and solve…