2. Save the system with Gaussion elimination (x+2y-42=-4 (1) 58-38-72 = 6 3x-28+37=11 x+2y-32=6 { 2xy + 4z = 2 € -48-57+62=18 (2)

Q: Consider the system 5х, — х, — 2хз %3D12 Зх, + 8x2 — 2хз — — 25 X1 + x2 + 4x3 = 6

A: For the Gauss-Seidel method we write the system of equations , for each k=1,2...,n as follows…

Q: bris anoitsups 99 lo amsteye Teonil of noitanimilo to bordts X=5)liw ow nt14 dglA oniJ as mwond dism…

A: Given: 4x - 2y + 3z = 23 x + 5y - 3z = - 37 - 2x + y + 4z = 27

Q: Solve the system #1 #2 3 CA 25 8. 6. || +8 +t Jhy 1 -5x2 -2x3 #1 -572 +2 -24 +225 -5x6 4 +325 -4x6…

A: We will apply elementary row operations on augmented matrix to solve this problem.

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: For what values of h and k in the system below has (a) no solution, (b) a unique solution and (c)…

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Q: : Find the solution of the following system I1 + 2rz + 13 + 2r4 =0 21 + 4r2 +13 + 3rg = 0. 3r1 + 6r2…

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Q: 5. Given the system of equations, 729/(a+3) = and 41-62 3 determine a and b. 64

A: Here we can use the rule that if bases are same then ,we can equate the power

Q: 12.- x₁ + 3x3 + x 4 = 2 2x₁ + 3x₂-3x3 + x4=2 2x₁2x₂2x3x4=2

A: Given linear system is ,           -x1+3x3+x4 = 22x1+3x2-3x3+x4 = 22x1-2x2-2x3-x4 = -2 (.)  Consider…

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 + 2x2 + x3 + 4x4 = 13 2х1 + 4x3 + 3x4 3 28 4х1 + 2х2 + 2х3 + х4 —D 20 —Зх1 + х2 + Зxз + 2х4 3D 6

A: The given equations are: x1+2x2+x3+4x4=132x1+4x3+3x4=284x1+2x2+2x3+x4=20-3x1+x2+3x3+2x4=6

Q: Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10…

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Q: Explain why there are no solutions of the system x + 2y + 3z 2x + 4y + 7z 3x + 6y + 2z 1 = 1. 3 =

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

A:

Q: 5) y = 4x 12x - 3y = 0 Solving Systems of Equations using Substitution

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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: Solve the system of using CGramer's Rule: 2X, +4 X3 -2 = 0 X 2 + 4 X3 X, + X2 = X3 %3D

A: Using Cramer's rule solution of system of equations a1x+b1y+c1z=aa2x+b2y+c2z=ba3x+b3y+c3z=c is given…

Q: Is (2,5) the answer to the system y = 3x -1, 5x - 2y = 2

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Q: 4. (a) Write the system of equa c, and d of a cubic polynomia passes through the points A(1 them. Do…

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Q: 1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 -…

A: GIven equations in matrix form: AX=D 123452-34-5111-1-115-4-32134-3-46x1x2x3x4x5=510897

Q: Solve the system -2x + ² y = 7x - 3y = 9 - 3 8 by elimination.

A: SOLUTION-

Q: 4. (a) Find the general solution of the system x₁ = 4x17x2, x2 = 7x1 + 4x₂. (b) Let a and b be real…

A: We solve by eigenvalues and eigenvectors method.

Q: Solve the given system using LU- Factorization x₁ + x₂ + x3 = 3 - x₁x₂ + 4x3 = 4 2x₁2x₂ + 8x3 = 0

A:

Q: find the value of the variables…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find the general solution of the system of equation X=/11 2 12\ 121 211 X

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1:

Q: 7) y = -2x - 3 -4x - 4y = 4 Solving Systems of Equations using Substitution

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Q: Solve the System of equation 6x-4x-5 μ=0 (1) 4y +42+ 4м=0 (z) 62-37-4μ=0 (3) -4x+4y-32=2 (4)…

A: Given system of equations…

Q: A= -3 со 3 -6 5 -12 15 ст 5 14 7

A: