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1 1 Q. Consider the lincar system 1 1) has the solution 2. 1 -1 X2 1 -1 X3. (1,1,1 )", and then 1) Find the absolute norm for the invers of Houscholder transformation of the matrix of the above system. 2) Is Householder transformation of the matrix of the above system positive definite? justify your answer. 3) Is Houscholder matrix of the above system stable? justify your answer.

1 1 Q. Consider the lincar system 1 1) has the solution 2. 1 -1 X2 1 -1 X3. (1,1,1 )", and then 1) Find the absolute norm for the invers of Houscholder transformation of the matrix of the above system. 2) Is Householder transformation of the matrix of the above system positive definite? justify your answer. 3) Is Houscholder matrix of the above system stable? justify your answer.

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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2. 1 Q. Consider the lincar system 1 1) has the solution 2. 1 -1 X2 1 -1 (1,1,1 )", and then 1) Find the absolute norm for the invers of Houscholder transformation of the matrix of the above system. 2) Is Householder transformation of the matrix of the above system positive definite? justify your answer. 3) Is Houscholder matrix of the above system stable? justify your answer.
Transcribed Image Text:2. 1 Q. Consider the lincar system 1 1) has the solution 2. 1 -1 X2 1 -1 (1,1,1 )", and then 1) Find the absolute norm for the invers of Houscholder transformation of the matrix of the above system. 2) Is Householder transformation of the matrix of the above system positive definite? justify your answer. 3) Is Houscholder matrix of the above system stable? justify your answer.
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