Solve the system given in the previous problem using Crout's LU factorization method. 4x, + 5x, + 14x3+ 14x, = 22 4X1 %3D 3x, + 6x2 + 5x; + 2x, = 4 %3D 5x, + 10x2 + 8x; - 4x, = 13 %3D 2x, + 5x, + 2x3 – 3x, = 1 %3D

Q: 4. Use Gauss-Jordan elimination to solve: 2X₁ + X₂ X3 = 1 5X₁ + 2X₂ + 2X3 = -4 3X₁ + X₂ + X3 = 5…

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Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: Expand and simplify. 3(2y-3) 2(4y-1)(4+1) Factor: a. 3x² + 16x-12 b. x²-y²-6y-9

A: We will solve all 3 subparts in the following steps.

Q: Find the inverse of :) 8 6 5 4 and use it to solve the system S 8x1 + 6x2 5x1 + 4x2 -9 -1

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Q: 4. Solve the system below using matrices and matrix operations. Write the final answers in exact…

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Q: 42,5 Factor the trinomial -42x°y -24xʻy% - 54x°y7 O 6xty (-7xy- 4x – 9y?) 4,,5 O-6a (7x²y®+ 4.xy5 +…

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Q: Determine if the system has a nontrivial solution. Try to use as few row operations as possible.…

A: We have to determine if the system has nontrivial solution…

Q: Minimization: Z = 5X, + 6X, + 10X, + 7X, + 19X5 Subject to: %3D 5X, + X2 + 3X3 – 4X, + 3X5 2 2 -2X,…

A: In this problem we can observe that all Xj ≥0 and so, Z can be minimum 0 as all coefficients of Xj…

Q: Reduce to reduced row echelon form. X -3 6 -2 6 1 O 0 0 -9 3 -31 18 11 31 -6 3 -7 18 -6 6 1 O O O 1…

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Q: Find the Row Reduced Echelon Form (RREF).

A: The reduced row- eachelon form of the augmented matrix has 1s on the diagonal and zeros off…

Q: can you use row reduced-echelon form.

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Q: III. Solve each by factoring then chec- 31. x-x-2 (0 32. x²+ 16x - 36 = 0 33. 8x? - 6x – 5 = 0

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Q: 35x, +6x, - 7.x, =15 3. Solve {-90.x, -15x, +21x, -40 by repeated use of row operations. Show some…

A: To solve the below system of equations using row operations.…

Q: . Solve the following system of equations with the Gauss-Jordan elimination method. 4x, + 3x2 + 2x,…

A: The solution is given as

Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3 7

A: To Solve the following using Gauss-Jordan Elimination

Q: Solve the following system by applying the LU-Factorization method

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Q: x- 3y +2z = -6 4x-4y+5z -4 9x-5y + 2z = 2.

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Q: Apply Gauss Elimination method to triangularize the following set of quadratic equations. X1 + 4x2 –…

A: The given equations are  x1 + 4x2 - x3 = - 5 x1 + x2 - 6x3 = - 12 3x1 - x2 - x3 = 4 In the matrix…

Q: Find A- using row operations or adjoint method. -1 2 61 2 6 1 A = 1 6 4]

A: We will find A-1 using the adjoint method The formula for A-1 is A-1=adjAA Now, A=-126261164 Now,…

Q: Find A¯1 using row operations or adjoint method. [-1 2 6] A =| 2 6 1 1 6 4]

A: By matrix properties we know,                                           AI =IA-1 By Row operation we…

Q: 11 Assuming A 3x4 and B 4x2: AxB is 3x4 4X3 3x2 2X3

A: Matrix multiplication is only valid if the number of columns of the first matrix are equal to the…

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: х, — Зх, — 2х, %3D0 3x2 2x3 = 0 —х, + 2х, + х, 3D 0 X3 = 2х, + 4x, + 6х, = 0

A: Here we will solve the given equations by Gauss-Jordan elimination,

Q: (b) Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: The given initial value problem y'=x2y-12y2, y0=1. We have to find the value of y1 using the Euler's…

Q: Determine if the system has a nontrivial solution. Try to use as few row operations as possible. 8x3…

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Q: Q2/ Find the value of B using 2X₁ + 3X₂ X3 = 4, 3X -

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Q: nethod x1 + x2 - x3 + 2x4 = 0 1- 2x2 + x3 - 4x4 = 3 x1-x2-2x3 - x4 = -3 x1 +2x2 + x3 - 2x4 = 13 %3D

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Q: Find by the LU factorization method solution of the following equation (2x + 3y = -1 (x=y=1

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Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix

Q: -1 -5 3 -2 5 2 3 C = 0 2 -2 1 -2 2 -7 -4 1 2 7 -1 4 5 2. 3.

A: Given matrix is, C=2-1-53-252030-2102-232-7-4127-145 Apply R2→5R1-2R2.…