2x₁ + x₂ + 3x3 = 1, 4x1 + 6x₂ + 8x3 = 5, 6x1 + ax2 + 10x3 = 5, ollowing values of a will there be m partial pivoting? b. α=9 Cc.
2x₁ + x₂ + 3x3 = 1, 4x1 + 6x₂ + 8x3 = 5, 6x1 + ax2 + 10x3 = 5, ollowing values of a will there be m partial pivoting? b. α=9 Cc.
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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Transcribed Image Text:26.
Suppose that
2x₁ + x₂ + 3x3 = 1,
4x1 + 6x2 + 8x3 = 5,
6x1 + ax2 + 10x3
5,
=
with a < 10. For which of the following values of a will there be no row interchange required when
solving this system using scaled partial pivoting?
a. α=6
b. a = 9
c. α = -3
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