0.6000x1 + 2000x2 = 20030.3076x1 − 0.4010x2 = 1.137 Use four-digit decimal floating-point arithmetic, and scale the system by multiplying the first equation through by 1/2000 and the second equation through by 1/0.4010. Solve the scaled system using partial pivoting.
0.6000x1 + 2000x2 = 20030.3076x1 − 0.4010x2 = 1.137 Use four-digit decimal floating-point arithmetic, and scale the system by multiplying the first equation through by 1/2000 and the second equation through by 1/0.4010. Solve the scaled system using partial pivoting.
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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Question
0.6000x1 + 2000x2 = 2003
0.3076x1 − 0.4010x2 = 1.137 Use four-digit decimal floating-point arithmetic,
and scale the system by multiplying
the first equation through by 1/2000 and the
second equation through by 1/0.4010. Solve the
scaled system using partial pivoting.
Expert Solution
Step 1 Given information:
The given system of linear equations:
The objective is to multiply the first equation through by and the second equation through by and solve the scaled system using partial pivoting.
Step 2 Calculation:
Multiplying the first equation through by and the second equation through by .
Simplify the above system.
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