Solve the following system of equations by LU decomposition. Show all the steps of your calculation. 15x_1+7x_2-4x_3=51 4x_1-4x_2+9x_3=62 12x_1-x_2+3x_3=8 The decomposition/elimination step The forward substitution step The backward substitution step

Q: -3x+y=-17 -x+y=-5 substitution method.

A: Solve the given equation

Q: Russ worked a total of 135 hours during the month of July. He earned $3,600. Russ earned $25 per…

A: Given, x represents the no. Of weekday hours worked. y represents the no. Of Saturday hours worked.…

Q: z+ 2y-z 3 -2x-y+z=-1 6x 3y-z -7 O no solution O exactly one solution O Infinitely many solutions

A: Recall: If a system has at least one solution , it is consistent .( If  a system has exactly one…

Q: Solve the system +8 +t 4x1 -5x2 -I1 +2₂ +4x3 +2x4 +2x3 +2x4 = 3x₁4x₂ +6x3 +4x4 = -2x1 0550 +2x₂ +4x3…

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Q: dx = X dt dy = y dt -지). taking (x, y) > 0. (a) Write an equation for the (non-zero) vertical…

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Q: Solve the system 4x1 -5x2 +3x3 +4x4 || 2 -x1 +x2 +2x3_ +2x4 2 3x1 -4x2 +5x3 +6x4 –3x1 +3x2 +6x3 +6x4…

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Q: 5x1 -4x2 +2x3 +3x4 = +x2 +3x3 +3x4 3 -11 +12 3 4x1 -3x2 +5x3 +6x4 = -2x2 -6x3 -674 -623 -6 211

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Q: Solve the system 2x − 6y = -9, - −3x + 9y = 12.

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Q: x' = x+2y x(0)=1, y(0)=2 y' = 2x+ 4y

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Q: dx x(4 — х — 5у) dt dy = y(1 – 4x), dt taking (x, y) > 0. (a) Write an equation for the (non-zero)…

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Q: Enter the x coordinate of the solution to this system of equations. O 3x + y = -2 x- 4y = 8 %3D X=

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Q: * =* (1 --) dx dt dy = y dt y - X 4 - taking (x, y) > 0. (a) Write an equation for the (non-zero)…

A: Given- Consider the system of equations  dxdt = x1 - x3 - ydydt = y1 - y4 - x taking x, y > 0 To…

Q: Solve the system 5x1 -6x2 +4x3 +4x4 : +x2 +3x3 +3x4 4x1 -5x2 +7x3 +7x4 = 2x1 -2x2 -6x3 -6x4 1 3 -2…

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Q: Find the solution of the system of equations x - 3y = -215 x + 5y = 441

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Q: A system of linear equations has no solution. One equation is y = -2r + 5. Select all equations that…

A: Y=-2X+5 For no solution,  a1/a2 =b1/b2 but should not be equal to c1/c2

Q: dx = x(4 – x – 5y) dt dy y(1 – 4x), dt taking (x, y) > 0. (a) Write an equation for the (non-zero)…

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Q: メーフyニ4 ー4メー14y =28 -4x-14

A: Given : Syst of equations :                            -x - 7y = 14…

Q: -3 1 -2 X'(t) = 1 1 3 X(t). 0 0 3

A: Firstly , we can find eigenvalues and eigen vector of the given matrix.

Q: Solve the system of linear equations given by 2 X1 + 4 X2 + 6 X3 = 22 3 X1 + 8 X2 + 5 X3 = 27 - X1+…

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Q: Write a system of two quadratic equations that has solutions of (-3,-3) and (3,-3)

A: Solution:

Q: Solve the system of equations {9/8x-11/2y=-2 {5/16x+7/4y=1

A: Consider the given two equations.Write x in terms of y for equation (1).

Q: Solve the linear system 4x1 + 2r2 – 4x3 + 8x4 = 8 -3r2 + 6x3 + 12x4 -6 I3 + 4x4 2 214 = 6

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