2. (a) Find the condition number of the coefficient matrix in the system (1761) (22) = (2²6) as a function of d > 0. (b) Find the error magnification factor for the approximate root xa = (-1,3+8).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Question
2.
(a) Find the condition number of the coefficient matrix in the system
X1
(1461) (²2) = (2²6)
X2
as a function of d > 0.
(b) Find the error magnification factor for the approximate root xa
=
(-1,3+6).
Transcribed Image Text:2. (a) Find the condition number of the coefficient matrix in the system X1 (1461) (²2) = (2²6) X2 as a function of d > 0. (b) Find the error magnification factor for the approximate root xa = (-1,3+6).
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