NUMMTD PROBLEM 8: Given the equations 3x1 - 2x2 + X3 = -10 2x1 + 6x2 – 4x3 = 44 -X1 – 2x2 + 5x3 = -26 Solve by LU Decomposition.

Q: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

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Q: Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax=b by ordinary row…

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Q: Solve the equations Ax = b by Gauss elimination, where b -H -4 -2 -1 A = 2 1 2 0 2 -1 0 -2 0 −1 1 -1…

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Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: 5. By using the matrix methods to solve the following linear system: I1 + 12 – 13 = 5, 3r1 +12 – 2r3…

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Q: 4+ Out X=U -3n,t Ox-2n3=6 + Yx2-2n3

A: x1+0x2+x3=4............i-3x1+0x2-2x3=6........iix1+4x2-2x3=-3............iii Now, converting given…

Q: plve for the unknown values using Decomposition Methods

A: We have to solve the linear system of equation using decomposition method.

Q: 3. Solve the following system using LU-decomposition: 2x1 +8x=-2 21-22-2

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Q: -3 5 6 1 2 12 -2 -51x11 -7 X2 x2 9 X3. 4 -8 -10] -1

A: We can solve this using given information

Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: 6. Solve using Jacobi Method 5х — 2y +3z %3D-1 2х — у — 7z %3D 3 -3x + 9y + z = 2

A: the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally…

Q: 12. Is this reasoning for finding the solutions of the equation V 2x – 1 = X correct? (1) 2x - 1 = X…

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Q: Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary…

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Q: Problem 2 6x1+12x2+24x3=6 2x1+11x2+29x3=9 4x1+10x2+24x3 = 8 - Solve using LU decomposition - Crout…

A: By using LU decomposition -Crout method , we will solve the given equations.

Q: 9x-y-9z=9 6x+4y+5z=92 -6x-5y+z=-77 Solve using Gauss-Jordan elimination. answer is (6,9,4)

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Q: Q.No.5 Define Linear and Quadratic equations. And solve the following quadratic equation by…

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Q: Give the solution of (2x + 3y + z = −1 3x + 3y + z = 1. (2x + 4y + z = -2

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Q: -8x1+3x2-6x3+2x4 = -5 5x1+6x2+2x3-4x4 = -8 -3x1 +2x2-7x3+5x4 = 4 4x1 -5x2+3x3-6x4 = 9 %3! Solve the…

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Q: Solve the following linear equations using Crout's LU decomposition method. 2X₁5X2 + X3 = 12 -X₁ +…

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Q: Find solution of the following equation by the Gauss-Siedel method x₁ + x₂ + x₂=6 2x₁ - x₂ + x3 = 3…

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Q: 9.11 Given the equations 2x, - 6x2 – x3 = -38 -3x, - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -20 (a) Solve…

A: Answer

Q: Question2. Yn+3-4Yn+2 +5yn+1-2y = 2" linear difference equation is given. Find the general solution…

A: Given difference equation is ,         yn+3-4yn+2+5yn+1-2yn=2n And solution is given by ,…

Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, -2x2 +7x3…

A: Algebra Question

Q: Find the LU factorization of A = A = and use FORWARD SUBSTITUTION AND BACKWARD SUBSTITUTION to solve…

A: Given matrix is A = 3-49-14 Express the matrix A as the product of a lower triangular matrix L and…

Q: When the following system of equations is solved using LU decomposition, 4x1 - 10x3 =1 2x1+ X2+ X3=…

A: We can solve the given problem using the concept of system linear equations.

Q: Give the general solution of (3D5-13D4 +34D³-46D² +27D-5)y=0

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Q: 3. (a) Cardamo and Ferrari discovered that to depress a cubic, it is sufficient to let x = y − the…

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Q: -2x+2y+6z=2 3x=8y+19z-28 2(x-y)-5z=x-6 Solve by using Gaussian elimination

A: This by using Gaussian elimination: