Write the formula for the condition number of A, ||A|A¹||, in terms of the eigenvalues of A when A is s.p.d. Given a small (2 x 2) matrix A = its eigenvalues and its inverse, compute its condition number using one of the norms. and investigate what happens with the condition number when € → 0. 1 [date]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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(6) Write the formula for the condition number of A, ||A||||A-¹||, in terms of the
eigenvalues of A when A is s.p.d. Given a small (2 x 2) matrix
1
1
A
^ = [ {₁+c];
its eigenvalues and its inverse, compute its condition number using one of the
norms. and investigate what happens with the condition number when € → 0.
Transcribed Image Text:(6) Write the formula for the condition number of A, ||A||||A-¹||, in terms of the eigenvalues of A when A is s.p.d. Given a small (2 x 2) matrix 1 1 A ^ = [ {₁+c]; its eigenvalues and its inverse, compute its condition number using one of the norms. and investigate what happens with the condition number when € → 0.
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