Problem 1C. Solve the system of linear equations using Crout's LU Decomposition.[11-10-22 1[X1-11]-18.-11X28.44-1X36.6.4-1-5X4]15

Given11-10-22-178-11844-194-1-5x1x2x3x4=-116615Here,A = 11-10-22-178-11844-194-1-5 , X = x1x2x3x4…

Answered: Problem 1C. Solve the system of linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2.3(2) Determines, if possible, the point(s) of intersection of each line and each plan defined by the equations.
10. - -) Solve the following system of linear equations by using Cramer's rule. x1 + x₂ + 3 x3 = 0 -x1 + 2x2 + 3x3 = 1 x1 + 3x2 + 2x3 = 1
5. [A-5] A boat filled with fireworks is sailing along on a path described by the rule y = 2x - 32. At the same time, an abandoned oil tanker is drifting along on a path described by 2y + 6x-206 = 0 When the two ships collide, the explosion will be visible by every vessel within a distance of 30 km. A raft filled with kittens is floating at coordinates K (21,-4). Do the kittens see the fireworks? Oil tanker 2y + 6x 206 = 0 Explosives ship y = 2x - 32 Explosion 3(24.-14 ● Kittens on a raft (21,-4)
2. LOQ Graphically solve each of the following. (a) 3x + y = 6 and x - y = 2 (b) x + 4y = -8 and 3x + 4y = 0 (c) 5x = 3y and y = -5 (d) 2x + 6y = 8 and x = -2 (e) y = 3x2 and y = 3 (f) y = -2x and x = 4 (g) x = -2 and 3x + 4y = 12 (h) y = -2 and 5x + 3y = 15
5. Solve the following linear equations using Crout's LU decomposition method. 2X₁ 5X2 X3 = 12 -X₁ + 3X2 X3 = -8 3X₁ 4X2 + 2X3 = 16 Check your answer using Cholesky's Method.
4) Find the solution of the following linear equation system using LU decomposition method X1 + 2x2 + 3x3 = 5 2х1 — 4х2 + 6хз — 18 Зх1 — 9х2 — 3хз —D 6 -
Solve the following system of equations by LU decomposition.
4.2) Solve the given system of equations using Gauss-Jordan Reduction method.
PLEASE ANSWER #2 ONLY.
5.2) Solve the given system of equations using Gauss-Jordan Reduction method
1. Two well-mixed tanks are hooked up so that water with 2 pounds of salt per gallon flows into the first tank, well - mixed water flows out of the second tank, water flows from the first tank to the second tank, and water flows from the second tank to the first tank. All flows are constant. Determine how much water is in each of the two tanks, given if x is the amount of salt in the first tank and y is the amount of salt in the second tank then 3x = -x + y + 30 and 6y' 2x - 3y. The answer should be 45 gallons in the first tank and 30 gallons in the second tank. =

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Problem 1C. Solve the system of linear equations using Crout's LU Decomposition. [X1 X2 11 -10 -2 11] 6. 6. 2 -1 7 8. -11 8 4 4 -1 X3 9. 4 -1 -5 X4] 15