Solve using appropriate LU method. (Doolittle Decomposition and Crout's Method) 1. x+y+z=7 3x + 3y + 4z = 23 2x + y + z = 10 w-x+z=19

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Solve using appropriate LU method. (Doolittle Decomposition and Crout's Method)
1. x+y+z=7
3x + 3y + 4z = 23
2x + y + z = 10
W-x +z = 19
2. 2x₁6x2x3 = -38
- 3x₁ - x₂ + 7x3 = -34
-8x₁ + x₂ - 2x3 = -20
3. 3x₁2x₂ + x3 = -10
2x₁ + 6x₂ - 4x3 = 44
-x₁2x₂ + 5x3 = -26
Transcribed Image Text:Solve using appropriate LU method. (Doolittle Decomposition and Crout's Method) 1. x+y+z=7 3x + 3y + 4z = 23 2x + y + z = 10 W-x +z = 19 2. 2x₁6x2x3 = -38 - 3x₁ - x₂ + 7x3 = -34 -8x₁ + x₂ - 2x3 = -20 3. 3x₁2x₂ + x3 = -10 2x₁ + 6x₂ - 4x3 = 44 -x₁2x₂ + 5x3 = -26
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,