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5. Assume that matrix A= 1 0 44:-| 21 0 U₂2 3 4] Then = has the LU factorization w

5. Assume that matrix A= 1 0 44:-| 21 0 U₂2 3 4] Then = has the LU factorization w

Advanced Engineering Mathematics
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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5. Assume that matrix A= 44:-|| L= U₁1 U₁2 0 U₂2 1 1 3 -4 where Then U=. Solve the following linear system 2x₁ + 3x₂ = 4 3x₁ + 2x₂ = 1 by applying the PA=LU factorization with partial pivoting. has the LU factorization w Use the three-point centered-difference formula with h-0.1 to approximate first derivative of f(x) = at x=2, and then provide the absolute error. X A = Apply Gaussian elimination with partial pivoting to solve the linear system Ax-b 23 4 6 35 2 b= 5 4 3 30 32
Transcribed Image Text:5. Assume that matrix A= 44:-|| L= U₁1 U₁2 0 U₂2 1 1 3 -4 where Then U=. Solve the following linear system 2x₁ + 3x₂ = 4 3x₁ + 2x₂ = 1 by applying the PA=LU factorization with partial pivoting. has the LU factorization w Use the three-point centered-difference formula with h-0.1 to approximate first derivative of f(x) = at x=2, and then provide the absolute error. X A = Apply Gaussian elimination with partial pivoting to solve the linear system Ax-b 23 4 6 35 2 b= 5 4 3 30 32
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