Question 5 Ps) Solve the following linear system (a) 7x₂ + 2x₂-3x₂ = - 12 2x₂5x₂ 3x3 = -20 <-26 x₁ - x₂ - 6x3 = (2) (3) Apply the LU decomposition for above equation with Doolitle factorization using direct calculation to solve the linear system. Find the value of x₁, x2, xj. above equation to solve the linear system. Find the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5
Ps) Solve the following linear system
7x₂ + 2x₂-3x3 = -12
2x₂5x₂ 3x3 = -20
<-26
x₂x₂ - 6x3 =
-
(2)
(3)
(a)
Apply the LU decomposition for above equation with Doolitle factorization using direct
calculation to solve the linear system. Find the value of X₁, X2, X.
(b) (20 Use Gauss Elimination method for above equation to solve the linear system. Find the
value of x₁, x, xs. Without LU
Transcribed Image Text:Question 5 Ps) Solve the following linear system 7x₂ + 2x₂-3x3 = -12 2x₂5x₂ 3x3 = -20 <-26 x₂x₂ - 6x3 = - (2) (3) (a) Apply the LU decomposition for above equation with Doolitle factorization using direct calculation to solve the linear system. Find the value of X₁, X2, X. (b) (20 Use Gauss Elimination method for above equation to solve the linear system. Find the value of x₁, x, xs. Without LU
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